diff --git a/test/unit/test_blas_tile_extensions.cpp b/test/unit/test_blas_tile_extensions.cpp
index 4d9efa0ac6..f56d0978d8 100644
--- a/test/unit/test_blas_tile_extensions.cpp
+++ b/test/unit/test_blas_tile_extensions.cpp
@@ -65,3 +65,36 @@ TYPED_TEST(TileOperationsExtensionsTestGPU, Scal) {
   }
 }
 #endif
+
+// Tuple elements:  m, n, k, extra_lda, extra_ldb, extra_ldc
+std::vector<std::tuple<SizeType, SizeType, SizeType, SizeType, SizeType, SizeType>> gemm_sizes = {
+    {0, 0, 0, 0, 0, 0},                                               // all 0 sizes
+    {7, 0, 0, 3, 1, 0},  {0, 5, 0, 0, 0, 1},    {0, 0, 11, 1, 1, 2},  // two 0 sizes
+    {0, 5, 13, 1, 0, 1}, {7, 0, 4, 1, 2, 0},    {3, 11, 0, 0, 1, 0},  // one 0 size
+    {1, 1, 1, 0, 3, 0},  {1, 12, 1, 1, 0, 7},   {17, 12, 16, 1, 3, 0}, {11, 23, 8, 0, 3, 4},
+    {6, 9, 12, 1, 1, 1}, {32, 32, 32, 0, 0, 0}, {32, 32, 32, 4, 5, 7}, {128, 128, 128, 0, 0, 0},
+};
+
+TYPED_TEST(TileOperationsExtensionsTestMC, Scal) {
+  using Type = TypeParam;
+  for (const auto& [m, n, k, extra_lda, extra_ldb, extra_ldc] : gemm_sizes) {
+    // Test a and b const Tiles.
+    dlaf::test::testScal<Device::CPU, Type>(m, n, extra_lda);
+    // Test a and b non const Tiles.
+    dlaf::test::testScal<Device::CPU, Type>(m, n, extra_lda);
+  }
+}
+
+#ifdef DLAF_WITH_GPU
+TYPED_TEST(TileOperationsExtensionsTestGPU, Scal) {
+  using Type = TypeParam;
+
+  for (const auto& [m, n, k, extra_lda, extra_ldb, extra_ldc] : gemm_sizes) {
+    // Test a and b const Tiles.
+    dlaf::test::testScal<Device::GPU, Type>(m, n, extra_lda);
+
+    // Test a and b non const Tiles.
+    dlaf::test::testScal<Device::CPU, Type, Type>(m, n, extra_lda);
+  }
+}
+#endif