diff --git a/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global1.kt b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global1.kt
new file mode 100644
index 00000000000..6d260e29308
--- /dev/null
+++ b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global1.kt
@@ -0,0 +1,36 @@
+/*
+ * Copyright 2010-2021 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+// MODULE: lib
+// FILE: lib.kt
+var z1 = false
+var z2 = false
+
+// MODULE: lib2(lib)
+// FILE: lib2.kt
+import kotlin.test.*
+
+@OptIn(kotlin.ExperimentalStdlibApi::class)
+@EagerInitialization
+val x = foo()
+
+private fun foo(): Int {
+    z1 = true
+    return 42
+}
+
+// Will be initialized since [x]'s initializer calls a function from the file.
+val y = run { z2 = true; 117 }
+
+// MODULE: main(lib, lib2)
+// FILE: main.kt
+import kotlin.test.*
+
+fun box(): String {
+    assertTrue(z1)
+    assertTrue(z2)
+
+    return "OK"
+}
diff --git a/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global2.kt b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global2.kt
new file mode 100644
index 00000000000..e89359e130d
--- /dev/null
+++ b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global2.kt
@@ -0,0 +1,31 @@
+/*
+ * Copyright 2010-2021 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+// MODULE: lib
+// FILE: lib.kt
+var z1 = false
+var z2 = false
+
+// MODULE: lib2(lib)
+// FILE: lib2.kt
+import kotlin.test.*
+
+@OptIn(kotlin.ExperimentalStdlibApi::class)
+@EagerInitialization
+val x = run { z1 = true; 42 }
+
+// Won't be initialized (cause no function from the file will be called during [x] initialization).
+val y = run { z2 = true; 117 }
+
+// MODULE: main(lib, lib2)
+// FILE: main.kt
+import kotlin.test.*
+
+fun box(): String {
+    assertTrue(z1)
+    assertFalse(z2)
+
+    return "OK"
+}
diff --git a/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal1.kt b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal1.kt
new file mode 100644
index 00000000000..06f8e634547
--- /dev/null
+++ b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal1.kt
@@ -0,0 +1,44 @@
+/*
+ * Copyright 2010-2021 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+// MODULE: lib
+// FILE: lib.kt
+@ThreadLocal
+var z1 = false
+var z2 = false
+@ThreadLocal
+var z3 = false
+
+// MODULE: lib2(lib)
+// FILE: lib2.kt
+import kotlin.test.*
+
+@OptIn(kotlin.ExperimentalStdlibApi::class)
+@EagerInitialization
+@ThreadLocal
+val x = foo()
+
+private fun foo(): Int {
+    z1 = true
+    return 42
+}
+
+// Both will be initialized since [x]'s initializer calls a function from the file.
+val y1 = run { z2 = true; 117 }
+
+@ThreadLocal
+val y2 = run { z3 = true; 117 }
+
+// MODULE: main(lib, lib2)
+// FILE: main.kt
+import kotlin.test.*
+
+fun box(): String {
+    assertTrue(z1)
+    assertTrue(z2)
+    assertTrue(z3)
+
+    return "OK"
+}
diff --git a/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal2.kt b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal2.kt
new file mode 100644
index 00000000000..8010a9994bf
--- /dev/null
+++ b/native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal2.kt
@@ -0,0 +1,39 @@
+/*
+ * Copyright 2010-2021 JetBrains s.r.o. and Kotlin Programming Language contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+// MODULE: lib
+// FILE: lib.kt
+@ThreadLocal
+var z1 = false
+var z2 = false
+@ThreadLocal
+var z3 = false
+
+// MODULE: lib2(lib)
+// FILE: lib2.kt
+import kotlin.test.*
+
+@OptIn(kotlin.ExperimentalStdlibApi::class)
+@EagerInitialization
+@ThreadLocal
+val x = run { z1 = true; 42 }
+
+// Won't be initialized (cause no function from the file will be called during [x] initialization).
+val y1 = run { z2 = true; 117 }
+
+@ThreadLocal
+val y2 = run { z3 = true; 117 }
+
+// MODULE: main(lib, lib2)
+// FILE: main.kt
+import kotlin.test.*
+
+fun box(): String {
+    assertTrue(z1)
+    assertFalse(z2)
+    assertFalse(z3)
+
+    return "OK"
+}
diff --git a/native/native.tests/testData/codegen/initializers/files/simpleMultiModule.kt b/native/native.tests/testData/codegen/initializers/files/simpleMultiModule.kt
new file mode 100644
index 00000000000..5d17e1f775e
--- /dev/null
+++ b/native/native.tests/testData/codegen/initializers/files/simpleMultiModule.kt
@@ -0,0 +1,25 @@
+/*
+ * Copyright 2010-2018 JetBrains s.r.o. Use of this source code is governed by the Apache 2.0 license
+ * that can be found in the LICENSE file.
+ */
+
+// MODULE: lib
+// FILE: lib.kt
+class X(val s: String)
+
+val x = X("zzz")
+
+// MODULE: lib2(lib)
+// FILE: lib2.kt
+class Z(val x: Int)
+
+val z2 = Z(x.s.length)
+
+// MODULE: main(lib2)
+// FILE: main.kt
+import kotlin.test.*
+
+fun box(): String {
+    assertEquals(3, z2.x)
+    return "OK"
+}
\ No newline at end of file
diff --git a/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/FirNativeCodegenLocalTestGenerated.java b/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/FirNativeCodegenLocalTestGenerated.java
index 95b80ce5056..abd05472175 100644
--- a/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/FirNativeCodegenLocalTestGenerated.java
+++ b/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/FirNativeCodegenLocalTestGenerated.java
@@ -2097,6 +2097,12 @@ public class FirNativeCodegenLocalTestGenerated extends AbstractNativeCodegenBox
                 runTest("native/native.tests/testData/codegen/initializers/files/simple.kt");
             }
 
+            @Test
+            @TestMetadata("simpleMultiModule.kt")
+            public void testSimpleMultiModule() throws Exception {
+                runTest("native/native.tests/testData/codegen/initializers/files/simpleMultiModule.kt");
+            }
+
             @Test
             @TestMetadata("workers1.kt")
             public void testWorkers1() throws Exception {
@@ -2144,6 +2150,43 @@ public class FirNativeCodegenLocalTestGenerated extends AbstractNativeCodegenBox
                 public void testThreadLocal2() throws Exception {
                     runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/threadLocal2.kt");
                 }
+
+                @Nested
+                @TestMetadata("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule")
+                @TestDataPath("$PROJECT_ROOT")
+                @Tag("frontend-fir")
+                @FirPipeline()
+                @UseExtTestCaseGroupProvider()
+                public class MultiModule {
+                    @Test
+                    public void testAllFilesPresentInMultiModule() throws Exception {
+                        KtTestUtil.assertAllTestsPresentByMetadataWithExcluded(this.getClass(), new File("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule"), Pattern.compile("^(.+)\\.kt$"), null, TargetBackend.NATIVE, true);
+                    }
+
+                    @Test
+                    @TestMetadata("global1.kt")
+                    public void testGlobal1() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global1.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("global2.kt")
+                    public void testGlobal2() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global2.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("threadLocal1.kt")
+                    public void testThreadLocal1() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal1.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("threadLocal2.kt")
+                    public void testThreadLocal2() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal2.kt");
+                    }
+                }
             }
         }
     }
diff --git a/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/NativeCodegenLocalTestGenerated.java b/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/NativeCodegenLocalTestGenerated.java
index cb4bcb9953d..ffd7b161b95 100644
--- a/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/NativeCodegenLocalTestGenerated.java
+++ b/native/native.tests/tests-gen/org/jetbrains/kotlin/konan/test/blackbox/NativeCodegenLocalTestGenerated.java
@@ -2049,6 +2049,12 @@ public class NativeCodegenLocalTestGenerated extends AbstractNativeCodegenBoxTes
                 runTest("native/native.tests/testData/codegen/initializers/files/simple.kt");
             }
 
+            @Test
+            @TestMetadata("simpleMultiModule.kt")
+            public void testSimpleMultiModule() throws Exception {
+                runTest("native/native.tests/testData/codegen/initializers/files/simpleMultiModule.kt");
+            }
+
             @Test
             @TestMetadata("workers1.kt")
             public void testWorkers1() throws Exception {
@@ -2094,6 +2100,41 @@ public class NativeCodegenLocalTestGenerated extends AbstractNativeCodegenBoxTes
                 public void testThreadLocal2() throws Exception {
                     runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/threadLocal2.kt");
                 }
+
+                @Nested
+                @TestMetadata("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule")
+                @TestDataPath("$PROJECT_ROOT")
+                @UseExtTestCaseGroupProvider()
+                public class MultiModule {
+                    @Test
+                    public void testAllFilesPresentInMultiModule() throws Exception {
+                        KtTestUtil.assertAllTestsPresentByMetadataWithExcluded(this.getClass(), new File("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule"), Pattern.compile("^(.+)\\.kt$"), null, TargetBackend.NATIVE, true);
+                    }
+
+                    @Test
+                    @TestMetadata("global1.kt")
+                    public void testGlobal1() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global1.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("global2.kt")
+                    public void testGlobal2() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/global2.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("threadLocal1.kt")
+                    public void testThreadLocal1() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal1.kt");
+                    }
+
+                    @Test
+                    @TestMetadata("threadLocal2.kt")
+                    public void testThreadLocal2() throws Exception {
+                        runTest("native/native.tests/testData/codegen/initializers/files/eagerInitialization/multiModule/threadLocal2.kt");
+                    }
+                }
             }
         }
     }