diff --git a/src/MagnumPlugins/AnySceneConverter/Test/AnySceneConverterTest.cpp b/src/MagnumPlugins/AnySceneConverter/Test/AnySceneConverterTest.cpp
index db4c62edd..feed3516e 100644
--- a/src/MagnumPlugins/AnySceneConverter/Test/AnySceneConverterTest.cpp
+++ b/src/MagnumPlugins/AnySceneConverter/Test/AnySceneConverterTest.cpp
@@ -160,9 +160,7 @@ void AnySceneConverterTest::convert() {
 
     Containers::Pointer<AbstractSceneConverter> converter = manager.instantiate("AnySceneConverter");
     CORRADE_VERIFY(converter->convertToFile(mesh, filename));
-    /* This file is reused in AnySceneImporter tests, so it's worth to save it
-       here */
-    CORRADE_COMPARE_AS(filename, Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "triangle.ply"), TestSuite::Compare::File);
+    CORRADE_COMPARE_AS(filename, Utility::Path::join(ANYSCENECONVERTER_TEST_DIR, "triangle.ply"), TestSuite::Compare::File);
 }
 
 void AnySceneConverterTest::convertBeginEnd() {
@@ -193,9 +191,7 @@ void AnySceneConverterTest::convertBeginEnd() {
     CORRADE_COMPARE(converter->add(mesh), 0);
     CORRADE_VERIFY(converter->endFile());
 
-    /* This file is reused in AnySceneImporter tests, so it's worth to save it
-       here */
-    CORRADE_COMPARE_AS(filename, Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "triangle.ply"), TestSuite::Compare::File);
+    CORRADE_COMPARE_AS(filename, Utility::Path::join(ANYSCENECONVERTER_TEST_DIR, "triangle.ply"), TestSuite::Compare::File);
 }
 
 void AnySceneConverterTest::detectConvert() {
diff --git a/src/MagnumPlugins/AnySceneConverter/Test/CMakeLists.txt b/src/MagnumPlugins/AnySceneConverter/Test/CMakeLists.txt
index 7a5c7fbf8..c770ba9a2 100644
--- a/src/MagnumPlugins/AnySceneConverter/Test/CMakeLists.txt
+++ b/src/MagnumPlugins/AnySceneConverter/Test/CMakeLists.txt
@@ -30,11 +30,9 @@ set(CMAKE_FOLDER "MagnumPlugins/AnySceneConverter/Test")
 if(CORRADE_TARGET_EMSCRIPTEN OR CORRADE_TARGET_ANDROID)
     set(ANYSCENECONVERTER_TEST_DIR .)
     set(ANYSCENECONVERTER_TEST_OUTPUT_DIR "write")
-    set(ANYSCENEIMPORTER_TEST_DIR .)
 else()
     set(ANYSCENECONVERTER_TEST_DIR ${CMAKE_CURRENT_SOURCE_DIR})
     set(ANYSCENECONVERTER_TEST_OUTPUT_DIR ${CMAKE_CURRENT_BINARY_DIR})
-    set(ANYSCENEIMPORTER_TEST_DIR ${PROJECT_SOURCE_DIR}/src/MagnumPlugins/AnySceneImporter/Test)
 endif()
 
 if(NOT MAGNUM_ANYSCENECONVERTER_BUILD_STATIC)
@@ -53,8 +51,8 @@ file(GENERATE OUTPUT ${CMAKE_CURRENT_BINARY_DIR}/$<CONFIG>/configure.h
 corrade_add_test(AnySceneConverterTest AnySceneConverterTest.cpp
     LIBRARIES MagnumTrade
     FILES
-        ${PROJECT_SOURCE_DIR}/src/MagnumPlugins/AnySceneImporter/Test/triangle.ply
-        objectid.ply)
+        objectid.ply
+        triangle.ply)
 target_include_directories(AnySceneConverterTest PRIVATE ${CMAKE_CURRENT_BINARY_DIR}/$<CONFIG>)
 if(MAGNUM_ANYSCENECONVERTER_BUILD_STATIC)
     target_link_libraries(AnySceneConverterTest PRIVATE AnySceneConverter)
diff --git a/src/MagnumPlugins/AnySceneConverter/Test/configure.h.cmake b/src/MagnumPlugins/AnySceneConverter/Test/configure.h.cmake
index 9d4c17444..cc98fc5d8 100644
--- a/src/MagnumPlugins/AnySceneConverter/Test/configure.h.cmake
+++ b/src/MagnumPlugins/AnySceneConverter/Test/configure.h.cmake
@@ -26,7 +26,6 @@
 #cmakedefine ANYSCENECONVERTER_PLUGIN_FILENAME "${ANYSCENECONVERTER_PLUGIN_FILENAME}"
 #define ANYSCENECONVERTER_TEST_OUTPUT_DIR "${ANYSCENECONVERTER_TEST_OUTPUT_DIR}"
 #define ANYSCENECONVERTER_TEST_DIR "${ANYSCENECONVERTER_TEST_DIR}"
-#define ANYSCENEIMPORTER_TEST_DIR "${ANYSCENEIMPORTER_TEST_DIR}"
 
 #ifdef CORRADE_TARGET_WINDOWS
 #ifdef CORRADE_IS_DEBUG_BUILD
diff --git a/src/MagnumPlugins/AnySceneImporter/Test/triangle.ply b/src/MagnumPlugins/AnySceneConverter/Test/triangle.ply
similarity index 100%
rename from src/MagnumPlugins/AnySceneImporter/Test/triangle.ply
rename to src/MagnumPlugins/AnySceneConverter/Test/triangle.ply
diff --git a/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.cpp b/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.cpp
index f213671ce..16a7e90a7 100644
--- a/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.cpp
+++ b/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.cpp
@@ -253,6 +253,7 @@ Containers::String AnySceneImporter::doSkin3DName(const UnsignedInt id) { return
 Containers::Optional<SkinData3D> AnySceneImporter::doSkin3D(const UnsignedInt id) { return _in->skin3D(id); }
 
 UnsignedInt AnySceneImporter::doMeshCount() const { return _in->meshCount(); }
+UnsignedInt AnySceneImporter::doMeshLevelCount(UnsignedInt id) { return _in->meshLevelCount(id); }
 Int AnySceneImporter::doMeshForName(const Containers::StringView name) { return _in->meshForName(name); }
 Containers::String AnySceneImporter::doMeshName(const UnsignedInt id) { return _in->meshName(id); }
 Containers::Optional<MeshData> AnySceneImporter::doMesh(const UnsignedInt id, const UnsignedInt level) { return _in->mesh(id, level); }
diff --git a/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.h b/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.h
index 5c22d8b05..0f7d2fb50 100644
--- a/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.h
+++ b/src/MagnumPlugins/AnySceneImporter/AnySceneImporter.h
@@ -235,6 +235,7 @@ class MAGNUM_ANYSCENEIMPORTER_EXPORT AnySceneImporter: public AbstractImporter {
         MAGNUM_ANYSCENEIMPORTER_LOCAL Containers::Optional<SkinData3D> doSkin3D(UnsignedInt id) override;
 
         MAGNUM_ANYSCENEIMPORTER_LOCAL UnsignedInt doMeshCount() const override;
+        MAGNUM_ANYSCENEIMPORTER_LOCAL UnsignedInt doMeshLevelCount(UnsignedInt id) override;
         MAGNUM_ANYSCENEIMPORTER_LOCAL Int doMeshForName(Containers::StringView name) override;
         MAGNUM_ANYSCENEIMPORTER_LOCAL Containers::String doMeshName(UnsignedInt id) override;
         MAGNUM_ANYSCENEIMPORTER_LOCAL Containers::Optional<MeshData> doMesh(UnsignedInt id, UnsignedInt level) override;
diff --git a/src/MagnumPlugins/AnySceneImporter/Test/AnySceneImporterTest.cpp b/src/MagnumPlugins/AnySceneImporter/Test/AnySceneImporterTest.cpp
index b6f327993..56c921fae 100644
--- a/src/MagnumPlugins/AnySceneImporter/Test/AnySceneImporterTest.cpp
+++ b/src/MagnumPlugins/AnySceneImporter/Test/AnySceneImporterTest.cpp
@@ -93,6 +93,7 @@ struct AnySceneImporterTest: TestSuite::Tester {
     void meshesDeprecated2D();
     void meshesDeprecated3D();
     #endif
+    void meshLevels();
     void meshAttributeNameNoFileOpened();
 
     void materials();
@@ -180,6 +181,7 @@ AnySceneImporterTest::AnySceneImporterTest() {
               &AnySceneImporterTest::meshesDeprecated2D,
               &AnySceneImporterTest::meshesDeprecated3D,
               #endif
+              &AnySceneImporterTest::meshLevels,
               &AnySceneImporterTest::meshAttributeNameNoFileOpened,
 
               &AnySceneImporterTest::materials,
@@ -263,7 +265,7 @@ void AnySceneImporterTest::propagateFlags() {
     /* Ensure Assimp is used for PLY files and not our StanfordImporter */
     manager.setPreferredPlugins("StanfordImporter", {"AssimpImporter"});
 
-    Containers::String filename = Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "triangle.ply");
+    Containers::String filename = Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "per-face-colors-be.ply");
 
     Containers::Pointer<AbstractImporter> importer = manager.instantiate("AnySceneImporter");
     importer->setFlags(ImporterFlag::Verbose);
@@ -292,7 +294,7 @@ void AnySceneImporterTest::propagateConfiguration() {
     /* Ensure Assimp is used for PLY files and not our StanfordImporter */
     manager.setPreferredPlugins("StanfordImporter", {"AssimpImporter"});
 
-    Containers::String filename = Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "triangle.ply");
+    Containers::String filename = Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "per-face-colors-be.ply");
 
     Containers::Pointer<AbstractImporter> importer = manager.instantiate("AnySceneImporter");
 
@@ -337,7 +339,7 @@ void AnySceneImporterTest::propagateConfigurationUnknown() {
 
     std::ostringstream out;
     Warning redirectWarning{&out};
-    CORRADE_VERIFY(importer->openFile(Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "triangle.ply")));
+    CORRADE_VERIFY(importer->openFile(Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "per-face-colors-be.ply")));
     if(data.quiet)
         CORRADE_COMPARE(out.str(), "");
     else
@@ -640,6 +642,28 @@ void AnySceneImporterTest::meshesDeprecated3D() {
 }
 #endif
 
+void AnySceneImporterTest::meshLevels() {
+    PluginManager::Manager<AbstractImporter> manager{MAGNUM_PLUGINS_IMPORTER_INSTALL_DIR};
+    #ifdef ANYSCENEIMPORTER_PLUGIN_FILENAME
+    CORRADE_VERIFY(manager.load(ANYSCENEIMPORTER_PLUGIN_FILENAME) & PluginManager::LoadState::Loaded);
+    #endif
+
+    if(manager.load("StanfordImporter") < PluginManager::LoadState::Loaded)
+        CORRADE_SKIP("StanfordImporter plugin can't be loaded.");
+
+    Containers::Pointer<AbstractImporter> importer = manager.instantiate("AnySceneImporter");
+    importer->configuration().setValue("perFaceToPerVertex", false);
+
+    CORRADE_VERIFY(importer->openFile(Utility::Path::join(ANYSCENEIMPORTER_TEST_DIR, "per-face-colors-be.ply")));
+    CORRADE_COMPARE(importer->meshCount(), 1);
+    CORRADE_COMPARE(importer->meshLevelCount(0), 2);
+
+    /* Check only primitive, a good enough proof that it's working */
+    Containers::Optional<Trade::MeshData> mesh = importer->mesh(0, 1);
+    CORRADE_VERIFY(mesh);
+    CORRADE_COMPARE(mesh->primitive(), MeshPrimitive::Faces);
+}
+
 void AnySceneImporterTest::meshAttributeNameNoFileOpened() {
     Containers::Pointer<AbstractImporter> importer = _manager.instantiate("AnySceneImporter");
 
diff --git a/src/MagnumPlugins/AnySceneImporter/Test/CMakeLists.txt b/src/MagnumPlugins/AnySceneImporter/Test/CMakeLists.txt
index 0390dd559..8499d30aa 100644
--- a/src/MagnumPlugins/AnySceneImporter/Test/CMakeLists.txt
+++ b/src/MagnumPlugins/AnySceneImporter/Test/CMakeLists.txt
@@ -70,7 +70,8 @@ corrade_add_test(AnySceneImporterTest AnySceneImporterTest.cpp
         rgb.png
         2d-mipmaps.ktx2
         2d-mipmaps-and-layers.ktx2
-        triangle.ply)
+        # Taken from StanfordImporter tests
+        per-face-colors-be.ply)
 target_include_directories(AnySceneImporterTest PRIVATE ${CMAKE_CURRENT_BINARY_DIR}/$<CONFIG>)
 if(MAGNUM_ANYSCENEIMPORTER_BUILD_STATIC)
     target_link_libraries(AnySceneImporterTest PRIVATE AnySceneImporter)
diff --git a/src/MagnumPlugins/AnySceneImporter/Test/per-face-colors-be.ply b/src/MagnumPlugins/AnySceneImporter/Test/per-face-colors-be.ply
new file mode 100644
index 000000000..62ce8cf59
Binary files /dev/null and b/src/MagnumPlugins/AnySceneImporter/Test/per-face-colors-be.ply differ