diff --git a/packages/SystemUI/compose/scene/Android.bp b/packages/SystemUI/compose/scene/Android.bp
index af1172b..682c49cfd 100644
--- a/packages/SystemUI/compose/scene/Android.bp
+++ b/packages/SystemUI/compose/scene/Android.bp
@@ -40,6 +40,8 @@
     static_libs: [
         "androidx.compose.runtime_runtime",
         "androidx.compose.material3_material3",
+
+        "PlatformComposeCore",
     ],
 
     kotlincflags: ["-Xjvm-default=all"],
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/Element.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/Element.kt
index ebe1df4..f14622f 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/Element.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/Element.kt
@@ -48,10 +48,13 @@
 import androidx.compose.ui.util.fastCoerceIn
 import androidx.compose.ui.util.fastForEachReversed
 import androidx.compose.ui.util.lerp
+import com.android.compose.animation.scene.Element.State
 import com.android.compose.animation.scene.content.Content
 import com.android.compose.animation.scene.content.state.TransitionState
 import com.android.compose.animation.scene.transformation.PropertyTransformation
 import com.android.compose.animation.scene.transformation.SharedElementTransformation
+import com.android.compose.modifiers.thenIf
+import com.android.compose.ui.graphics.drawInContainer
 import com.android.compose.ui.util.lerp
 import kotlin.math.roundToInt
 import kotlinx.coroutines.launch
@@ -146,10 +149,58 @@
     // TODO(b/341072461): Revert this and read the current transitions in ElementNode directly once
     // we can ensure that SceneTransitionLayoutImpl will compose new contents first.
     val currentTransitionStates = layoutImpl.state.transitionStates
-    return then(ElementModifier(layoutImpl, currentTransitionStates, content, key))
+    return thenIf(layoutImpl.state.isElevationPossible(content.key, key)) {
+            Modifier.maybeElevateInContent(layoutImpl, content, key, currentTransitionStates)
+        }
+        .then(ElementModifier(layoutImpl, currentTransitionStates, content, key))
         .testTag(key.testTag)
 }
 
+private fun Modifier.maybeElevateInContent(
+    layoutImpl: SceneTransitionLayoutImpl,
+    content: Content,
+    key: ElementKey,
+    transitionStates: List<TransitionState>,
+): Modifier {
+    fun isSharedElement(
+        stateByContent: Map<ContentKey, State>,
+        transition: TransitionState.Transition,
+    ): Boolean {
+        fun inFromContent() = transition.fromContent in stateByContent
+        fun inToContent() = transition.toContent in stateByContent
+        fun inCurrentScene() = transition.currentScene in stateByContent
+
+        return if (transition is TransitionState.Transition.ReplaceOverlay) {
+            (inFromContent() && (inToContent() || inCurrentScene())) ||
+                (inToContent() && inCurrentScene())
+        } else {
+            inFromContent() && inToContent()
+        }
+    }
+
+    return drawInContainer(
+        content.containerState,
+        enabled = {
+            val stateByContent = layoutImpl.elements.getValue(key).stateByContent
+            val state = elementState(transitionStates, isInContent = { it in stateByContent })
+
+            state is TransitionState.Transition &&
+                state.transformationSpec
+                    .transformations(key, content.key)
+                    .shared
+                    ?.elevateInContent == content.key &&
+                isSharedElement(stateByContent, state) &&
+                isSharedElementEnabled(key, state) &&
+                shouldPlaceElement(
+                    layoutImpl,
+                    content.key,
+                    layoutImpl.elements.getValue(key),
+                    state,
+                )
+        },
+    )
+}
+
 /**
  * An element associated to [ElementNode]. Note that this element does not support updates as its
  * arguments should always be the same.
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/SceneTransitionLayoutState.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/SceneTransitionLayoutState.kt
index a9a8668..e1e2411 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/SceneTransitionLayoutState.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/SceneTransitionLayoutState.kt
@@ -19,13 +19,16 @@
 import android.util.Log
 import androidx.annotation.VisibleForTesting
 import androidx.compose.runtime.Stable
+import androidx.compose.runtime.derivedStateOf
 import androidx.compose.runtime.getValue
 import androidx.compose.runtime.mutableStateOf
 import androidx.compose.runtime.setValue
 import androidx.compose.ui.util.fastAll
+import androidx.compose.ui.util.fastAny
 import androidx.compose.ui.util.fastFilter
 import androidx.compose.ui.util.fastForEach
 import com.android.compose.animation.scene.content.state.TransitionState
+import com.android.compose.animation.scene.transformation.SharedElementTransformation
 import com.android.compose.animation.scene.transition.link.LinkedTransition
 import com.android.compose.animation.scene.transition.link.StateLink
 import kotlin.math.absoluteValue
@@ -271,6 +274,14 @@
         mutableStateOf(listOf(TransitionState.Idle(initialScene, initialOverlays)))
         private set
 
+    /**
+     * The flattened list of [SharedElementTransformation] within all the transitions in
+     * [transitionStates].
+     */
+    private val transformationsWithElevation: List<SharedElementTransformation> by derivedStateOf {
+        transformationsWithElevation(transitionStates)
+    }
+
     override val currentScene: SceneKey
         get() = transitionState.currentScene
 
@@ -743,6 +754,42 @@
 
         animate()
     }
+
+    private fun transformationsWithElevation(
+        transitionStates: List<TransitionState>
+    ): List<SharedElementTransformation> {
+        return buildList {
+            transitionStates.fastForEach { state ->
+                if (state !is TransitionState.Transition) {
+                    return@fastForEach
+                }
+
+                state.transformationSpec.transformations.fastForEach { transformation ->
+                    if (
+                        transformation is SharedElementTransformation &&
+                            transformation.elevateInContent != null
+                    ) {
+                        add(transformation)
+                    }
+                }
+            }
+        }
+    }
+
+    /**
+     * Return whether we might need to elevate [element] (or any element if [element] is `null`) in
+     * [content].
+     *
+     * This is used to compose `Modifier.container()` and `Modifier.drawInContainer()` only when
+     * necessary, for performance.
+     */
+    internal fun isElevationPossible(content: ContentKey, element: ElementKey?): Boolean {
+        if (transformationsWithElevation.isEmpty()) return false
+        return transformationsWithElevation.fastAny { transformation ->
+            transformation.elevateInContent == content &&
+                (element == null || transformation.matcher.matches(element, content))
+        }
+    }
 }
 
 private const val TAG = "SceneTransitionLayoutState"
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDsl.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDsl.kt
index e825c6e..dc26b6b 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDsl.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDsl.kt
@@ -204,8 +204,17 @@
      *
      * @param enabled whether the matched element(s) should actually be shared in this transition.
      *   Defaults to true.
+     * @param elevateInContent the content in which we should elevate the element when it is shared,
+     *   drawing above all other composables of that content. If `null` (the default), we will
+     *   simply draw this element in its original location. If not `null`, it has to be either the
+     *   [fromContent][TransitionState.Transition.fromContent] or
+     *   [toContent][TransitionState.Transition.toContent] of the transition.
      */
-    fun sharedElement(matcher: ElementMatcher, enabled: Boolean = true)
+    fun sharedElement(
+        matcher: ElementMatcher,
+        enabled: Boolean = true,
+        elevateInContent: ContentKey? = null,
+    )
 
     /**
      * Adds the transformations in [builder] but in reversed order. This allows you to partially
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDslImpl.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDslImpl.kt
index a5ad999..269d91b0 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDslImpl.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/TransitionDslImpl.kt
@@ -249,8 +249,22 @@
         reversed = false
     }
 
-    override fun sharedElement(matcher: ElementMatcher, enabled: Boolean) {
-        transformations.add(SharedElementTransformation(matcher, enabled))
+    override fun sharedElement(
+        matcher: ElementMatcher,
+        enabled: Boolean,
+        elevateInContent: ContentKey?,
+    ) {
+        check(
+            elevateInContent == null ||
+                elevateInContent == transition.fromContent ||
+                elevateInContent == transition.toContent
+        ) {
+            "elevateInContent (${elevateInContent?.debugName}) should be either fromContent " +
+                "(${transition.fromContent.debugName}) or toContent " +
+                "(${transition.toContent.debugName})"
+        }
+
+        transformations.add(SharedElementTransformation(matcher, enabled, elevateInContent))
     }
 
     override fun timestampRange(
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/content/Content.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/content/Content.kt
index c8407b1..8187e39 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/content/Content.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/content/Content.kt
@@ -51,6 +51,9 @@
 import com.android.compose.animation.scene.element
 import com.android.compose.animation.scene.modifiers.noResizeDuringTransitions
 import com.android.compose.animation.scene.nestedScrollToScene
+import com.android.compose.modifiers.thenIf
+import com.android.compose.ui.graphics.ContainerState
+import com.android.compose.ui.graphics.container
 
 /** A content defined in a [SceneTransitionLayout], i.e. a scene or an overlay. */
 @Stable
@@ -62,6 +65,7 @@
     zIndex: Float,
 ) {
     internal val scope = ContentScopeImpl(layoutImpl, content = this)
+    val containerState = ContainerState()
 
     var content by mutableStateOf(content)
     var zIndex by mutableFloatStateOf(zIndex)
@@ -82,6 +86,9 @@
                     val placeable = measurable.measure(constraints)
                     layout(placeable.width, placeable.height) { placeable.place(0, 0) }
                 }
+                .thenIf(layoutImpl.state.isElevationPossible(content = key, element = null)) {
+                    Modifier.container(containerState)
+                }
                 .testTag(key.testTag)
         ) {
             scope.content()
diff --git a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/transformation/Transformation.kt b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/transformation/Transformation.kt
index 9bb3023..de7f418 100644
--- a/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/transformation/Transformation.kt
+++ b/packages/SystemUI/compose/scene/src/com/android/compose/animation/scene/transformation/Transformation.kt
@@ -52,6 +52,7 @@
 internal class SharedElementTransformation(
     override val matcher: ElementMatcher,
     internal val enabled: Boolean,
+    internal val elevateInContent: ContentKey?,
 ) : Transformation
 
 /** A transformation that changes the value of an element property, like its size or offset. */