diff --git a/src/eval.c b/src/eval.c
index 4da6246..80ff5a3 100644
--- a/src/eval.c
+++ b/src/eval.c
@@ -5256,6 +5256,7 @@
     }
     else
 	func_ptr_unref(pt->pt_func);
+    object_unref(pt->pt_obj);
 
     // "out_up" is no longer used, decrement refcount on partial that owns it.
     partial_unref(pt->pt_outer.out_up_partial);
@@ -5578,6 +5579,7 @@
     /*
      * PASS 2: free the items themselves.
      */
+    object_free_items(copyID);
     dict_free_items(copyID);
     list_free_items(copyID);
 
@@ -5818,6 +5820,15 @@
 	set_ref_in_item(&dtv, copyID, ht_stack, list_stack);
     }
 
+    if (pt->pt_obj != NULL)
+    {
+	typval_T objtv;
+
+	objtv.v_type = VAR_OBJECT;
+	objtv.vval.v_object = pt->pt_obj;
+	set_ref_in_item(&objtv, copyID, ht_stack, list_stack);
+    }
+
     for (int i = 0; i < pt->pt_argc; ++i)
 	abort = abort || set_ref_in_item(&pt->pt_argv[i], copyID,
 		ht_stack, list_stack);
diff --git a/src/evalfunc.c b/src/evalfunc.c
index 5fccf52..85c64a2 100644
--- a/src/evalfunc.c
+++ b/src/evalfunc.c
@@ -4801,6 +4801,9 @@
 		    pt->pt_auto = arg_pt->pt_auto;
 		    if (pt->pt_dict != NULL)
 			++pt->pt_dict->dv_refcount;
+		    pt->pt_obj = arg_pt->pt_obj;
+		    if (pt->pt_obj != NULL)
+			++pt->pt_obj->obj_refcount;
 		}
 
 		pt->pt_refcount = 1;
diff --git a/src/proto/vim9class.pro b/src/proto/vim9class.pro
index 362e2ca..62d1b7d 100644
--- a/src/proto/vim9class.pro
+++ b/src/proto/vim9class.pro
@@ -17,13 +17,14 @@
 ufunc_T *method_lookup(class_T *cl, vartype_T v_type, char_u *name, size_t namelen, int *idx);
 int inside_class(cctx_T *cctx_arg, class_T *cl);
 void copy_object(typval_T *from, typval_T *to);
-void object_unref(object_T *obj);
 void copy_class(typval_T *from, typval_T *to);
 void class_unref(class_T *cl);
 int class_free_nonref(int copyID);
 int set_ref_in_classes(int copyID);
 void object_created(object_T *obj);
+void object_unref(object_T *obj);
 int object_free_nonref(int copyID);
+void object_free_items(int copyID);
 void method_not_found_msg(class_T *cl, vartype_T v_type, char_u *name, size_t len);
 void member_not_found_msg(class_T *cl, vartype_T v_type, char_u *name, size_t len);
 void f_instanceof(typval_T *argvars, typval_T *rettv);
diff --git a/src/proto/vim9instr.pro b/src/proto/vim9instr.pro
index 898eb97..a236b75 100644
--- a/src/proto/vim9instr.pro
+++ b/src/proto/vim9instr.pro
@@ -45,7 +45,7 @@
 int generate_VIM9SCRIPT(cctx_T *cctx, isntype_T isn_type, int sid, int idx, type_T *type);
 int generate_NEWLIST(cctx_T *cctx, int count, int use_null);
 int generate_NEWDICT(cctx_T *cctx, int count, int use_null);
-int generate_FUNCREF(cctx_T *cctx, ufunc_T *ufunc, class_T *cl, int fi, int *isn_idx);
+int generate_FUNCREF(cctx_T *cctx, ufunc_T *ufunc, class_T *cl, int object_method, int fi, int *isn_idx);
 int generate_NEWFUNC(cctx_T *cctx, char_u *lambda_name, char_u *func_name);
 int generate_DEF(cctx_T *cctx, char_u *name, size_t len);
 int generate_JUMP(cctx_T *cctx, jumpwhen_T when, int where);
diff --git a/src/structs.h b/src/structs.h
index 5131858..a221a04 100644
--- a/src/structs.h
+++ b/src/structs.h
@@ -2316,6 +2316,7 @@
 
     int		pt_copyID;	// funcstack may contain pointer to partial
     dict_T	*pt_dict;	// dict for "self"
+    object_T	*pt_obj;	// object method
 };
 
 typedef struct {
diff --git a/src/testdir/test_vim9_class.vim b/src/testdir/test_vim9_class.vim
index 1aa9de7..3af9a1f 100644
--- a/src/testdir/test_vim9_class.vim
+++ b/src/testdir/test_vim9_class.vim
@@ -7477,4 +7477,480 @@
   v9.CheckSourceSuccess(lines)
 enddef
 
+" Test for using an object method as a funcref
+def Test_object_funcref()
+  # Using object method funcref from a def function
+  var lines =<< trim END
+    vim9script
+    class A
+      def Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+    endclass
+    def Bar()
+      var a = A.new()
+      var Fn = a.Foo
+      assert_equal([3, 2, 1], Fn())
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using object method funcref at the script level
+  lines =<< trim END
+    vim9script
+    class A
+      def Foo(): dict<number>
+        return {a: 1, b: 2}
+      enddef
+    endclass
+    var a = A.new()
+    var Fn = a.Foo
+    assert_equal({a: 1, b: 2}, Fn())
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using object method funcref from another object method
+  lines =<< trim END
+    vim9script
+    class A
+      def Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+      def Bar()
+        var Fn = this.Foo
+        assert_equal([3, 2, 1], Fn())
+      enddef
+    endclass
+    var a = A.new()
+    a.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using function() to get a object method funcref
+  lines =<< trim END
+    vim9script
+    class A
+      def Foo(l: list<any>): list<any>
+        return l
+      enddef
+    endclass
+    var a = A.new()
+    var Fn = function(a.Foo, [[{a: 1, b: 2}, [3, 4]]])
+    assert_equal([{a: 1, b: 2}, [3, 4]], Fn())
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Use an object method with a function returning a funcref and then call the
+  # funcref.
+  lines =<< trim END
+    vim9script
+
+    def Map(F: func(number): number): func(number): number
+      return (n: number) => F(n)
+    enddef
+
+    class Math
+      def Double(n: number): number
+        return 2 * n
+      enddef
+    endclass
+
+    const math = Math.new()
+    assert_equal(48, Map(math.Double)(24))
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Try using a private object method funcref from a def function
+  lines =<< trim END
+    vim9script
+    class A
+      def _Foo()
+      enddef
+    endclass
+    def Bar()
+      var a = A.new()
+      var Fn = a._Foo
+    enddef
+    Bar()
+  END
+  v9.CheckSourceFailure(lines, 'E1366: Cannot access private method: _Foo', 2)
+
+  # Try using a private object method funcref at the script level
+  lines =<< trim END
+    vim9script
+    class A
+      def _Foo()
+      enddef
+    endclass
+    var a = A.new()
+    var Fn = a._Foo
+  END
+  v9.CheckSourceFailure(lines, 'E1366: Cannot access private method: _Foo', 7)
+
+  # Using a private object method funcref from another object method
+  lines =<< trim END
+    vim9script
+    class A
+      def _Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+      def Bar()
+        var Fn = this._Foo
+        assert_equal([3, 2, 1], Fn())
+      enddef
+    endclass
+    var a = A.new()
+    a.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+enddef
+
+" Test for using a class method as a funcref
+def Test_class_funcref()
+  # Using class method funcref in a def function
+  var lines =<< trim END
+    vim9script
+    class A
+      static def Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+    endclass
+    def Bar()
+      var Fn = A.Foo
+      assert_equal([3, 2, 1], Fn())
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using class method funcref at script level
+  lines =<< trim END
+    vim9script
+    class A
+      static def Foo(): dict<number>
+        return {a: 1, b: 2}
+      enddef
+    endclass
+    var Fn = A.Foo
+    assert_equal({a: 1, b: 2}, Fn())
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using function() to get a class method funcref
+  lines =<< trim END
+    vim9script
+    class A
+      static def Foo(l: list<any>): list<any>
+        return l
+      enddef
+    endclass
+    var Fn = function(A.Foo, [[{a: 1, b: 2}, [3, 4]]])
+    assert_equal([{a: 1, b: 2}, [3, 4]], Fn())
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a class method funcref from another class method
+  lines =<< trim END
+    vim9script
+    class A
+      static def Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+      static def Bar()
+        var Fn = Foo
+        assert_equal([3, 2, 1], Fn())
+      enddef
+    endclass
+    A.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Use a class method with a function returning a funcref and then call the
+  # funcref.
+  lines =<< trim END
+    vim9script
+
+    def Map(F: func(number): number): func(number): number
+      return (n: number) => F(n)
+    enddef
+
+    class Math
+      static def StaticDouble(n: number): number
+        return 2 * n
+      enddef
+    endclass
+
+    assert_equal(48, Map(Math.StaticDouble)(24))
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Try using a private class method funcref in a def function
+  lines =<< trim END
+    vim9script
+    class A
+      static def _Foo()
+      enddef
+    endclass
+    def Bar()
+      var Fn = A._Foo
+    enddef
+    Bar()
+  END
+  v9.CheckSourceFailure(lines, 'E1366: Cannot access private method: _Foo', 1)
+
+  # Try using a private class method funcref at script level
+  lines =<< trim END
+    vim9script
+    class A
+      static def _Foo()
+      enddef
+    endclass
+    var Fn = A._Foo
+  END
+  v9.CheckSourceFailure(lines, 'E1366: Cannot access private method: _Foo', 6)
+
+  # Using a private class method funcref from another class method
+  lines =<< trim END
+    vim9script
+    class A
+      static def _Foo(): list<number>
+        return [3, 2, 1]
+      enddef
+      static def Bar()
+        var Fn = _Foo
+        assert_equal([3, 2, 1], Fn())
+      enddef
+    endclass
+    A.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+enddef
+
+" Test for using an object member as a funcref
+def Test_object_member_funcref()
+  # Using a funcref object variable in an object method
+  var lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      this.Cb: func(number): number = Foo
+      def Bar()
+        assert_equal(200, this.Cb(20))
+      enddef
+    endclass
+
+    var a = A.new()
+    a.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref object variable in a def method
+  lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      this.Cb: func(number): number = Foo
+    endclass
+
+    def Bar()
+      var a = A.new()
+      assert_equal(200, a.Cb(20))
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref object variable at script level
+  lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      this.Cb: func(number): number = Foo
+    endclass
+
+    var a = A.new()
+    assert_equal(200, a.Cb(20))
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref object variable pointing to an object method in an object
+  # method.
+  lines =<< trim END
+    vim9script
+    class A
+      this.Cb: func(number): number = this.Foo
+      def Foo(n: number): number
+        return n * 10
+      enddef
+      def Bar()
+        assert_equal(200, this.Cb(20))
+      enddef
+    endclass
+
+    var a = A.new()
+    a.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref object variable pointing to an object method in a def
+  # method.
+  lines =<< trim END
+    vim9script
+    class A
+      this.Cb: func(number): number = this.Foo
+      def Foo(n: number): number
+        return n * 10
+      enddef
+    endclass
+
+    def Bar()
+      var a = A.new()
+      assert_equal(200, a.Cb(20))
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref object variable pointing to an object method at script
+  # level.
+  lines =<< trim END
+    vim9script
+    class A
+      this.Cb = this.Foo
+      def Foo(n: number): number
+        return n * 10
+      enddef
+    endclass
+
+    var a = A.new()
+    assert_equal(200, a.Cb(20))
+  END
+  v9.CheckSourceSuccess(lines)
+enddef
+
+" Test for using a class member as a funcref
+def Test_class_member_funcref()
+  # Using a funcref class variable in a class method
+  var lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      static Cb = Foo
+      static def Bar()
+        assert_equal(200, Cb(20))
+      enddef
+    endclass
+
+    A.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref class variable in a def method
+  lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      public static Cb = Foo
+    endclass
+
+    def Bar()
+      assert_equal(200, A.Cb(20))
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref class variable at script level
+  lines =<< trim END
+    vim9script
+    def Foo(n: number): number
+      return n * 10
+    enddef
+
+    class A
+      public static Cb = Foo
+    endclass
+
+    assert_equal(200, A.Cb(20))
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref class variable pointing to a class method in a class
+  # method.
+  lines =<< trim END
+    vim9script
+    class A
+      static Cb: func(number): number
+      static def Foo(n: number): number
+        return n * 10
+      enddef
+      static def Init()
+        Cb = Foo
+      enddef
+      static def Bar()
+        assert_equal(200, Cb(20))
+      enddef
+    endclass
+
+    A.Init()
+    A.Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref class variable pointing to a class method in a def method.
+  lines =<< trim END
+    vim9script
+    class A
+      static Cb: func(number): number
+      static def Foo(n: number): number
+        return n * 10
+      enddef
+      static def Init()
+        Cb = Foo
+      enddef
+    endclass
+
+    def Bar()
+      A.Init()
+      assert_equal(200, A.Cb(20))
+    enddef
+    Bar()
+  END
+  v9.CheckSourceSuccess(lines)
+
+  # Using a funcref class variable pointing to a class method at script level.
+  lines =<< trim END
+    vim9script
+    class A
+      static Cb: func(number): number
+      static def Foo(n: number): number
+        return n * 10
+      enddef
+      static def Init()
+        Cb = Foo
+      enddef
+    endclass
+
+    A.Init()
+    assert_equal(200, A.Cb(20))
+  END
+  v9.CheckSourceSuccess(lines)
+enddef
+
 " vim: ts=8 sw=2 sts=2 expandtab tw=80 fdm=marker
diff --git a/src/testdir/test_vim9_func.vim b/src/testdir/test_vim9_func.vim
index 852f3a7..597a10c 100644
--- a/src/testdir/test_vim9_func.vim
+++ b/src/testdir/test_vim9_func.vim
Binary files differ
diff --git a/src/version.c b/src/version.c
index d050163..9147441 100644
--- a/src/version.c
+++ b/src/version.c
@@ -705,6 +705,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    2019,
+/**/
     2018,
 /**/
     2017,
diff --git a/src/vim9.h b/src/vim9.h
index 7854869..6bfbd9e 100644
--- a/src/vim9.h
+++ b/src/vim9.h
@@ -383,6 +383,7 @@
     char_u	  *fre_func_name;	// function name for legacy function
     loopvarinfo_T fre_loopvar_info;	// info about variables inside loops
     class_T	  *fre_class;		// class for a method
+    int		  fre_object_method;	// class or object method
     int		  fre_method_idx;	// method index on "fre_class"
 } funcref_extra_T;
 
diff --git a/src/vim9class.c b/src/vim9class.c
index 5dda700..bfa6149 100644
--- a/src/vim9class.c
+++ b/src/vim9class.c
@@ -2167,15 +2167,35 @@
     ufunc_T	*fp;
     typval_T	argvars[MAX_FUNC_ARGS + 1];
     int		argcount = 0;
+    ocmember_T	*ocm = NULL;
+    int		m_idx;
 
     fp = method_lookup(cl, rettv->v_type, name, len, NULL);
     if (fp == NULL)
     {
-	method_not_found_msg(cl, rettv->v_type, name, len);
-	return FAIL;
+	// could be an object or class funcref variable
+	ocm = member_lookup(cl, rettv->v_type, name, len, &m_idx);
+	if (ocm == NULL || ocm->ocm_type->tt_type != VAR_FUNC)
+	{
+	    method_not_found_msg(cl, rettv->v_type, name, len);
+	    return FAIL;
+	}
+
+	if (rettv->v_type == VAR_OBJECT)
+	{
+	    // funcref object variable
+	    object_T	*obj = rettv->vval.v_object;
+	    typval_T	*tv = (typval_T *)(obj + 1) + m_idx;
+	    copy_tv(tv, rettv);
+	}
+	else
+	    // funcref class variable
+	    copy_tv(&cl->class_members_tv[m_idx], rettv);
+	*arg = name_end;
+	return OK;
     }
 
-    if (*fp->uf_name == '_')
+    if (ocm == NULL && *fp->uf_name == '_')
     {
 	// Cannot access a private method outside of a class
 	semsg(_(e_cannot_access_private_method_str), fp->uf_name);
@@ -2288,6 +2308,37 @@
 	    return OK;
 	}
 
+	// could be a class method or an object method
+	int	fidx;
+	ufunc_T	*fp = method_lookup(cl, rettv->v_type, name, len, &fidx);
+	if (fp != NULL)
+	{
+	    // Private methods are not accessible outside the class
+	    if (*name == '_')
+	    {
+		semsg(_(e_cannot_access_private_method_str), fp->uf_name);
+		return FAIL;
+	    }
+
+	    partial_T	*pt = ALLOC_CLEAR_ONE(partial_T);
+	    if (pt == NULL)
+		return FAIL;
+
+	    pt->pt_refcount = 1;
+	    if (is_object)
+	    {
+		pt->pt_obj = rettv->vval.v_object;
+		++pt->pt_obj->obj_refcount;
+	    }
+	    pt->pt_auto = TRUE;
+	    pt->pt_func = fp;
+	    func_ptr_ref(pt->pt_func);
+	    rettv->v_type = VAR_PARTIAL;
+	    rettv->vval.v_partial = pt;
+	    *arg = name_end;
+	    return OK;
+	}
+
 	if (did_emsg == did_emsg_save)
 	    member_not_found_msg(cl, is_object, name, len);
     }
@@ -2774,8 +2825,6 @@
     first_object = obj;
 }
 
-static object_T	*next_nonref_obj = NULL;
-
 /*
  * Call this function when an object has been cleared and is about to be freed.
  * It is removed from the list headed by "first_object".
@@ -2789,30 +2838,35 @@
 	obj->obj_prev_used->obj_next_used = obj->obj_next_used;
     else if (first_object == obj)
 	first_object = obj->obj_next_used;
-
-    // update the next object to check if needed
-    if (obj == next_nonref_obj)
-	next_nonref_obj = obj->obj_next_used;
 }
 
 /*
- * Free an object.
+ * Free the contents of an object ignoring the reference count.
  */
     static void
-object_clear(object_T *obj)
+object_free_contents(object_T *obj)
 {
-    // Avoid a recursive call, it can happen if "obj" has a circular reference.
-    obj->obj_refcount = INT_MAX;
-
     class_T *cl = obj->obj_class;
 
     if (!cl)
 	return;
 
+    // Avoid a recursive call, it can happen if "obj" has a circular reference.
+    obj->obj_refcount = INT_MAX;
+
     // the member values are just after the object structure
     typval_T *tv = (typval_T *)(obj + 1);
     for (int i = 0; i < cl->class_obj_member_count; ++i)
 	clear_tv(tv + i);
+}
+
+    static void
+object_free_object(object_T *obj)
+{
+    class_T *cl = obj->obj_class;
+
+    if (!cl)
+	return;
 
     // Remove from the list headed by "first_object".
     object_cleared(obj);
@@ -2821,6 +2875,16 @@
     class_unref(cl);
 }
 
+    static void
+object_free(object_T *obj)
+{
+    if (in_free_unref_items)
+	return;
+
+    object_free_contents(obj);
+    object_free_object(obj);
+}
+
 /*
  * Unreference an object.
  */
@@ -2828,7 +2892,7 @@
 object_unref(object_T *obj)
 {
     if (obj != NULL && --obj->obj_refcount <= 0)
-	object_clear(obj);
+	object_free(obj);
 }
 
 /*
@@ -2839,21 +2903,32 @@
 {
     int		did_free = FALSE;
 
-    for (object_T *obj = first_object; obj != NULL; obj = next_nonref_obj)
+    for (object_T *obj = first_object; obj != NULL; obj = obj->obj_next_used)
     {
-	next_nonref_obj = obj->obj_next_used;
 	if ((obj->obj_copyID & COPYID_MASK) != (copyID & COPYID_MASK))
 	{
-	    // Free the object and items it contains.
-	    object_clear(obj);
+	    // Free the object contents.  Object itself will be freed later.
+	    object_free_contents(obj);
 	    did_free = TRUE;
 	}
     }
 
-    next_nonref_obj = NULL;
     return did_free;
 }
 
+    void
+object_free_items(int copyID)
+{
+    object_T	*obj_next;
+
+    for (object_T *obj = first_object; obj != NULL; obj = obj_next)
+    {
+	obj_next = obj->obj_next_used;
+	if ((obj->obj_copyID & COPYID_MASK) != (copyID & COPYID_MASK))
+	    object_free_object(obj);
+    }
+}
+
 /*
  * Output message which takes a variable name and the class that defines it.
  * "cl" is that class where the name was found. Search "cl"'s hierarchy to
diff --git a/src/vim9compile.c b/src/vim9compile.c
index 544ad17..03e79f5 100644
--- a/src/vim9compile.c
+++ b/src/vim9compile.c
@@ -1148,7 +1148,7 @@
 					    ASSIGN_CONST, ufunc->uf_func_type);
 	if (lvar == NULL)
 	    goto theend;
-	if (generate_FUNCREF(cctx, ufunc, NULL, 0, &funcref_isn_idx) == FAIL)
+	if (generate_FUNCREF(cctx, ufunc, NULL, FALSE, 0, &funcref_isn_idx) == FAIL)
 	    goto theend;
 	r = generate_STORE(cctx, ISN_STORE, lvar->lv_idx, NULL);
     }
diff --git a/src/vim9execute.c b/src/vim9execute.c
index a89bcd1..d8087bf 100644
--- a/src/vim9execute.c
+++ b/src/vim9execute.c
@@ -616,6 +616,12 @@
     // the first local variable.
     if (IS_OBJECT_METHOD(ufunc))
     {
+	if (obj->v_type != VAR_OBJECT)
+	{
+	    semsg(_(e_internal_error_str), "type in stack is not an object");
+	    return FAIL;
+	}
+
 	*STACK_TV_VAR(0) = *obj;
 	obj->v_type = VAR_UNKNOWN;
     }
@@ -1497,6 +1503,23 @@
 	partial_T   *pt = tv->vval.v_partial;
 	int	    i;
 
+	if (pt->pt_obj != NULL)
+	{
+	    // partial with an object method.  Push the object before the
+	    // function arguments.
+	    if (GA_GROW_FAILS(&ectx->ec_stack, 1))
+		return FAIL;
+	    for (i = 1; i <= argcount; ++i)
+		*STACK_TV_BOT(-i + 1) = *STACK_TV_BOT(-i);
+
+	    typval_T *obj_tv = STACK_TV_BOT(-argcount);
+	    obj_tv->v_type = VAR_OBJECT;
+	    obj_tv->v_lock = 0;
+	    obj_tv->vval.v_object = pt->pt_obj;
+	    ++pt->pt_obj->obj_refcount;
+	    ++ectx->ec_stack.ga_len;
+	}
+
 	if (pt->pt_argc > 0)
 	{
 	    // Make space for arguments from the partial, shift the "argcount"
@@ -4447,20 +4470,44 @@
 		    }
 		    if (extra != NULL && extra->fre_class != NULL)
 		    {
-			tv = STACK_TV_BOT(-1);
-			if (tv->v_type != VAR_OBJECT)
+			class_T	*cl;
+			if (extra->fre_object_method)
 			{
-			    object_required_error(tv);
-			    vim_free(pt);
-			    goto on_error;
-			}
-			object_T *obj = tv->vval.v_object;
-			class_T *cl = obj->obj_class;
+			    tv = STACK_TV_BOT(-1);
+			    if (tv->v_type != VAR_OBJECT)
+			    {
+				object_required_error(tv);
+				vim_free(pt);
+				goto on_error;
+			    }
 
-			// convert the interface index to the object index
-			int idx = object_index_from_itf_index(extra->fre_class,
-					      TRUE, extra->fre_method_idx, cl);
-			ufunc = cl->class_obj_methods[idx];
+			    object_T *obj = tv->vval.v_object;
+			    cl = obj->obj_class;
+			    // drop the value from the stack
+			    clear_tv(tv);
+			    --ectx->ec_stack.ga_len;
+
+			    pt->pt_obj = obj;
+			    ++obj->obj_refcount;
+			}
+			else
+			    cl = extra->fre_class;
+
+			if (extra->fre_object_method)
+			{
+			    // object method
+			    // convert the interface index to the object index
+			    int idx =
+				object_index_from_itf_index(extra->fre_class,
+					TRUE, extra->fre_method_idx, cl);
+			    ufunc = cl->class_obj_methods[idx];
+			}
+			else
+			{
+			    // class method
+			    ufunc =
+				cl->class_class_functions[extra->fre_method_idx];
+			}
 		    }
 		    else if (extra == NULL || extra->fre_func_name == NULL)
 		    {
diff --git a/src/vim9expr.c b/src/vim9expr.c
index c15021e..c91ca93 100644
--- a/src/vim9expr.c
+++ b/src/vim9expr.c
@@ -281,6 +281,8 @@
     static int
 compile_class_object_index(cctx_T *cctx, char_u **arg, type_T *type)
 {
+    int m_idx;
+
     if (VIM_ISWHITE((*arg)[1]))
     {
 	semsg(_(e_no_white_space_allowed_after_str_str), ".", *arg);
@@ -365,17 +367,34 @@
 		break;
 	    }
 	}
+	ocmember_T  *ocm = NULL;
 	if (ufunc == NULL)
 	{
-	    method_not_found_msg(cl, type->tt_type, name, len);
-	    return FAIL;
+	    // could be a funcref in a member variable
+	    ocm = member_lookup(cl, type->tt_type, name, len, &m_idx);
+	    if (ocm == NULL || ocm->ocm_type->tt_type != VAR_FUNC)
+	    {
+		method_not_found_msg(cl, type->tt_type, name, len);
+		return FAIL;
+	    }
+	    if (type->tt_type == VAR_CLASS)
+	    {
+		if (generate_CLASSMEMBER(cctx, TRUE, cl, m_idx) == FAIL)
+		    return FAIL;
+	    }
+	    else
+	    {
+		if (generate_GET_OBJ_MEMBER(cctx, m_idx, ocm->ocm_type) ==
+									FAIL)
+		    return FAIL;
+	    }
 	}
 
 	// A private object method can be used only inside the class where it
 	// is defined or in one of the child classes.
 	// A private class method can be used only in the class where it is
 	// defined.
-	if (*ufunc->uf_name == '_' &&
+	if (ocm == NULL && *ufunc->uf_name == '_' &&
 		((type->tt_type == VAR_OBJECT
 		  && !inside_class_hierarchy(cctx, cl))
 		 || (type->tt_type == VAR_CLASS
@@ -393,6 +412,8 @@
 	if (compile_arguments(arg, cctx, &argcount, CA_NOT_SPECIAL) == FAIL)
 	    return FAIL;
 
+	if (ocm != NULL)
+	    return generate_PCALL(cctx, argcount, name, ocm->ocm_type, TRUE);
 	if (type->tt_type == VAR_OBJECT
 		     && (cl->class_flags & (CLASS_INTERFACE | CLASS_EXTENDED)))
 	    return generate_CALL(cctx, ufunc, cl, fi, argcount);
@@ -401,7 +422,6 @@
 
     if (type->tt_type == VAR_OBJECT)
     {
-        int m_idx;
         ocmember_T *m = object_member_lookup(cl, name, len, &m_idx);
 	if (m_idx >= 0)
 	{
@@ -418,15 +438,21 @@
 	    return generate_GET_OBJ_MEMBER(cctx, m_idx, m->ocm_type);
 	}
 
-	// Could be a function reference: "obj.Func".
+	// Could be an object method reference: "obj.Func".
 	m_idx = object_method_idx(cl, name, len);
 	if (m_idx >= 0)
 	{
 	    ufunc_T *fp = cl->class_obj_methods[m_idx];
-	    if (type->tt_type == VAR_OBJECT
-		    && (cl->class_flags & (CLASS_INTERFACE | CLASS_EXTENDED)))
-		return generate_FUNCREF(cctx, fp, cl, m_idx, NULL);
-	    return generate_FUNCREF(cctx, fp, NULL, 0, NULL);
+	    // Private methods are not accessible outside the class
+	    if (*name == '_' && !inside_class(cctx, cl))
+	    {
+		semsg(_(e_cannot_access_private_method_str), fp->uf_name);
+		return FAIL;
+	    }
+	    *arg = name_end;
+	    if (type->tt_type == VAR_OBJECT)
+		return generate_FUNCREF(cctx, fp, cl, TRUE, m_idx, NULL);
+	    return generate_FUNCREF(cctx, fp, NULL, FALSE, 0, NULL);
 	}
 
 	member_not_found_msg(cl, VAR_OBJECT, name, len);
@@ -451,6 +477,24 @@
 	    *arg = name_end;
 	    return generate_CLASSMEMBER(cctx, TRUE, cl, idx);
 	}
+
+	// Could be a class method reference: "class.Func".
+	m_idx = class_method_idx(cl, name, len);
+	if (m_idx >= 0)
+	{
+	    ufunc_T *fp = cl->class_class_functions[m_idx];
+	    // Private methods are not accessible outside the class
+	    if (*name == '_' && !inside_class(cctx, cl))
+	    {
+		semsg(_(e_cannot_access_private_method_str), fp->uf_name);
+		return FAIL;
+	    }
+	    *arg = name_end;
+	    if (type->tt_type == VAR_CLASS)
+		return generate_FUNCREF(cctx, fp, cl, FALSE, m_idx, NULL);
+	    return generate_FUNCREF(cctx, fp, NULL, FALSE, 0, NULL);
+	}
+
 	member_not_found_msg(cl, VAR_CLASS, name, len);
     }
 
@@ -716,6 +760,7 @@
     {
 	size_t	    len = end - *arg;
 	int	    idx;
+	int	    method_idx;
 	int	    gen_load = FALSE;
 	int	    gen_load_outer = 0;
 	int	    outer_loop_depth = -1;
@@ -764,13 +809,27 @@
 		else
 		    gen_load = TRUE;
 	    }
-	    else if ((idx = cctx_class_member_idx(cctx, *arg, len, &cl)) >= 0)
+	    else if (cctx->ctx_ufunc->uf_defclass != NULL &&
+		    (((idx =
+		       cctx_class_member_idx(cctx, *arg, len, &cl)) >= 0)
+		     || ((method_idx =
+			     cctx_class_method_idx(cctx, *arg, len, &cl)) >= 0)))
 	    {
-		// Referencing a class variable without the class name.
-		// A class variable can be referenced without the class name
-		// only in the class where the function is defined.
+		// Referencing a class variable or method without the class
+		// name.  A class variable or method can be referenced without
+		// the class name only in the class where the function is
+		// defined.
 		if (cctx->ctx_ufunc->uf_defclass == cl)
-		    res = generate_CLASSMEMBER(cctx, TRUE, cl, idx);
+		{
+		    if (idx >= 0)
+			res = generate_CLASSMEMBER(cctx, TRUE, cl, idx);
+		    else
+		    {
+			ufunc_T *fp = cl->class_class_functions[method_idx];
+			res = generate_FUNCREF(cctx, fp, cl, FALSE, method_idx,
+									NULL);
+		    }
+		}
 		else
 		{
 		    semsg(_(e_class_variable_str_accessible_only_inside_class_str),
@@ -1387,7 +1446,7 @@
 	// The function reference count will be 1.  When the ISN_FUNCREF
 	// instruction is deleted the reference count is decremented and the
 	// function is freed.
-	return generate_FUNCREF(cctx, ufunc, NULL, 0, NULL);
+	return generate_FUNCREF(cctx, ufunc, NULL, FALSE, 0, NULL);
     }
 
     func_ptr_unref(ufunc);
diff --git a/src/vim9instr.c b/src/vim9instr.c
index 6de29b6..f7b074c 100644
--- a/src/vim9instr.c
+++ b/src/vim9instr.c
@@ -1384,6 +1384,7 @@
 	cctx_T	    *cctx,
 	ufunc_T	    *ufunc,
 	class_T	    *cl,
+	int	    object_method,
 	int	    fi,
 	int	    *isn_idx)
 {
@@ -1412,6 +1413,7 @@
 	{
 	    extra->fre_class = cl;
 	    ++cl->class_refcount;
+	    extra->fre_object_method = object_method;
 	    extra->fre_method_idx = fi;
 	}
     }
diff --git a/src/vim9type.c b/src/vim9type.c
index 338aee1..00ee76b 100644
--- a/src/vim9type.c
+++ b/src/vim9type.c
@@ -144,7 +144,7 @@
     if (ret->tt_member != NULL)
 	ret->tt_member = alloc_type(ret->tt_member);
 
-    if (type->tt_args != NULL)
+    if (type->tt_argcount > 0 && type->tt_args != NULL)
     {
 	int i;
 
@@ -153,6 +153,8 @@
 	    for (i = 0; i < type->tt_argcount; ++i)
 		ret->tt_args[i] = alloc_type(type->tt_args[i]);
     }
+    else
+	ret->tt_args = NULL;
 
     return ret;
 }