diff --git a/web/compose-compiler-integration/src/jsMain/kotlin/CrossmoduleTestsDependencies.kt b/web/compose-compiler-integration/src/jsMain/kotlin/CrossmoduleTestsDependencies.kt
index 84059cb352..bc56e265cd 100644
--- a/web/compose-compiler-integration/src/jsMain/kotlin/CrossmoduleTestsDependencies.kt
+++ b/web/compose-compiler-integration/src/jsMain/kotlin/CrossmoduleTestsDependencies.kt
@@ -93,3 +93,15 @@ class ClassSavesStringAndComposableIntoVar(
 val GlobalComposableLambdaToShowText: @Composable (text: () -> String) -> Unit = {
     Text(it())
 }
+
+
+// Should be Stable
+sealed interface StableSealedInterface {
+    object A : StableSealedInterface
+    object B : StableSealedInterface
+    object C : StableSealedInterface
+}
+
+data class StableDataClass(val abc: Int)
+data class StableClass(val abc: Int)
+class StableTypedClass<T>(val abc: T)
diff --git a/web/compose-compiler-integration/src/jsTest/kotlin/StabilityTests.kt b/web/compose-compiler-integration/src/jsTest/kotlin/StabilityTests.kt
new file mode 100644
index 0000000000..faa69e82da
--- /dev/null
+++ b/web/compose-compiler-integration/src/jsTest/kotlin/StabilityTests.kt
@@ -0,0 +1,262 @@
+import androidx.compose.runtime.*
+import kotlinx.browser.document
+import kotlinx.coroutines.CoroutineScope
+import kotlinx.coroutines.MainScope
+import kotlinx.coroutines.promise
+import kotlinx.coroutines.yield
+import kotlinx.dom.appendElement
+import org.jetbrains.compose.web.dom.Button
+import org.jetbrains.compose.web.dom.P
+import org.jetbrains.compose.web.dom.Text
+import org.jetbrains.compose.web.renderComposable
+import org.jetbrains.compose.web.renderComposableInBody
+import org.w3c.dom.*
+import kotlin.test.AfterTest
+import kotlin.test.Test
+import kotlin.test.assertEquals
+
+/**
+ * Covers the issues:
+ * - https://github.com/JetBrains/compose-jb/issues/2539
+ * - https://github.com/JetBrains/compose-jb/issues/2535
+ */
+class StabilityTests {
+
+    private fun runBlockingTest(block: suspend CoroutineScope.() -> Unit) = MainScope().promise {
+        block()
+    }
+
+    @AfterTest
+    fun reset() {
+        counter = 0
+    }
+
+    @Test
+    fun test_TakeStableSealedInterface() = runBlockingTest {
+        var scope: RecomposeScope? = null
+        var recomposeCounter = 0
+
+        val state = mutableStateOf<StableSealedInterface>(StableSealedInterface.A)
+        renderComposableInBody {
+            scope = currentRecomposeScope
+            TakeStableSealedInterface(state.value)
+            recomposeCounter++
+        }
+
+        assertEquals(1, counter)
+        assertEquals(1, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 2) yield()
+        assertEquals(1, counter)
+        assertEquals(2, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 3) yield()
+        assertEquals(1, counter)
+        assertEquals(3, recomposeCounter)
+
+        state.value = StableSealedInterface.B
+        while (recomposeCounter < 4) yield()
+        assertEquals(2, counter)
+        assertEquals(4, recomposeCounter)
+    }
+
+    @Test
+    fun test_TakeStableDataClass() = runBlockingTest {
+        var scope: RecomposeScope? = null
+        var recomposeCounter = 0
+
+        val state = mutableStateOf(StableDataClass(100))
+        renderComposableInBody {
+            scope = currentRecomposeScope
+            TakeStableDataClass(state.value)
+            recomposeCounter++
+        }
+
+        assertEquals(1, counter)
+        assertEquals(1, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 2) yield()
+        assertEquals(1, counter)
+        assertEquals(2, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 3) yield()
+        assertEquals(1, counter)
+        assertEquals(3, recomposeCounter)
+
+        state.value = StableDataClass(200)
+        while (recomposeCounter < 4) yield()
+        assertEquals(2, counter)
+        assertEquals(4, recomposeCounter)
+    }
+
+    @Test
+    fun test_TakeStableClass() = runBlockingTest {
+        var scope: RecomposeScope? = null
+        var recomposeCounter = 0
+
+        val state = mutableStateOf(StableClass(1000))
+        renderComposableInBody {
+            scope = currentRecomposeScope
+            TakeStableClass(state.value)
+            recomposeCounter++
+        }
+
+        assertEquals(1, counter)
+        assertEquals(1, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 2) yield()
+        assertEquals(1, counter)
+        assertEquals(2, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 3) yield()
+        assertEquals(1, counter)
+        assertEquals(3, recomposeCounter)
+
+        state.value = StableClass(300)
+        while (recomposeCounter < 4) yield()
+        assertEquals(2, counter)
+        assertEquals(4, recomposeCounter)
+    }
+
+    @Test
+    fun test_TakeTakeStableTypedClass_String() = runBlockingTest {
+        var scope: RecomposeScope? = null
+        var recomposeCounter = 0
+
+        val state = mutableStateOf(StableTypedClass("1000"))
+        renderComposableInBody {
+            scope = currentRecomposeScope
+            TakeStableTypedClass(state.value)
+            recomposeCounter++
+        }
+
+        assertEquals(1, counter)
+        assertEquals(1, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 2) yield()
+        assertEquals(1, counter)
+        assertEquals(2, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 3) yield()
+        assertEquals(1, counter)
+        assertEquals(3, recomposeCounter)
+
+        state.value = StableTypedClass("300")
+        while (recomposeCounter < 4) yield()
+        assertEquals(2, counter)
+        assertEquals(4, recomposeCounter)
+    }
+
+    @Test
+    fun test_TakeTakeStableTypedClass2_String() = runBlockingTest {
+        var scope: RecomposeScope? = null
+        var recomposeCounter = 0
+
+        val state = mutableStateOf(StableTypedClass("1500"))
+        renderComposableInBody {
+            scope = currentRecomposeScope
+            TakeStableTypedClass2(state.value)
+            recomposeCounter++
+        }
+
+        assertEquals(1, counter)
+        assertEquals(1, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 2) yield()
+        assertEquals(1, counter)
+        assertEquals(2, recomposeCounter)
+
+        scope!!.invalidate()
+        while (recomposeCounter < 3) yield()
+        assertEquals(1, counter)
+        assertEquals(3, recomposeCounter)
+
+        state.value = StableTypedClass("3020")
+        while (recomposeCounter < 4) yield()
+        assertEquals(2, counter)
+        assertEquals(4, recomposeCounter)
+    }
+
+
+    @Test // issue https://github.com/JetBrains/compose-jb/issues/2535
+    fun test_remembers_correct_attrs() = runBlockingTest {
+        val root = document.body!!.appendElement("div") {
+            id = "root"
+        }
+        renderComposable(root) {
+            val words = remember { mutableStateListOf<String>() }
+            words.map { P { Text(it) }}
+            Button(attrs = { onClick { words.add("foo") } }) { Text("foo") }
+            Button(attrs = { onClick { words.add("abc") } }) { Text("abc") }
+            Button(attrs = { onClick { words.add("bar") } }) { Text("bar") }
+        }
+
+        fun fooButton() = root.children.asList().let { it[it.size - 3] } as HTMLElement
+        fun abcButton() = root.children.asList().let { it[it.size - 2] } as HTMLElement
+        fun barButton() = root.children.asList().let { it[it.size - 1] } as HTMLElement
+        fun lastPText() = root.children.asList().let { it[it.size - 4] } as HTMLElement
+
+        assertEquals(3, root.children.length)
+
+        repeat(3) {
+            fooButton().click()
+            while (root.children.length < 4 + it) yield()
+            assertEquals("foo", lastPText().innerText)
+        }
+        repeat(3) {
+            abcButton().click()
+            while (root.children.length < 7 + it) yield()
+            assertEquals("abc", lastPText().innerText)
+        }
+        repeat(3) {
+            barButton().click()
+            while (root.children.length < 10 + it) yield()
+            assertEquals("bar", lastPText().innerText)
+        }
+
+        val result = root.children.asList().take(9).map { it.innerHTML }.joinToString(",")
+        assertEquals("foo,foo,foo,abc,abc,abc,bar,bar,bar", result)
+
+        document.body!!.removeChild(root)
+    }
+}
+
+private var counter = 0
+
+@Composable
+private fun TakeStableSealedInterface(a: StableSealedInterface) {
+    println("A = $a")
+    counter++
+}
+
+@Composable
+private fun TakeStableDataClass(a: StableDataClass) {
+    println("A = $a")
+    counter++
+}
+
+@Composable
+private fun TakeStableClass(a: StableClass) {
+    println("A = $a")
+    counter++
+}
+@Composable
+private fun TakeStableTypedClass(a: StableTypedClass<String>) {
+    println("A = $a")
+    counter++
+}
+
+@Composable
+private fun <T> TakeStableTypedClass2(a: StableTypedClass<T>) {
+    println("A = $a")
+    counter++
+}