diff --git a/projects/pt1/e2e_testing/xfail_sets.py b/projects/pt1/e2e_testing/xfail_sets.py
index 428c19788..810db7268 100644
--- a/projects/pt1/e2e_testing/xfail_sets.py
+++ b/projects/pt1/e2e_testing/xfail_sets.py
@@ -215,10 +215,6 @@ TORCHDYNAMO_XFAIL_SET = {
     'ConstantBoolParameterModule_basic',
 
     # START tests failing due to: 'torch.aten.mul.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
-    "AddCDivModule_basic",
-    "ElementwiseMulScalarModule_basic",
-    "ElementwiseMulScalarModule_float",
-    "NativeGroupNormBackwardModule_basic",
     "UpSampleNearest2dDynamicSize_basic",
     "UpSampleNearest2dStaticFactor_basic",
     "UpSampleNearest2dStaticSize_basic",
@@ -226,23 +222,7 @@ TORCHDYNAMO_XFAIL_SET = {
     # END tests failing due to: 'torch.aten.mul.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
 
     # START tests failing due to: 'torch.aten.add.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
-    "AtenInstanceNormModule_basic",
-    "BatchNorm1DModule_basic",
-    "BatchNorm1DWith2DInputModule_basic",
-    "BatchNorm2DModule_basic",
-    "BatchNorm3DModule_basic",
-    "BatchNorm1DStaticShapeModule_basic",
     "ElementwiseAddScalarFloatModule_basic",
-    "ElementwiseAddScalarInt64Module_basic",
-    "ElementwiseAddScalarIntModule_basic",
-    "MobilenetV3Module_basic",
-    "NativeBatchNorm1DModule_basic",
-    "NativeBatchNorm2DModule_basic",
-    "NativeBatchNorm3DModule_basic",
-    "NativeBatchNormNoneWeightModule_basic",
-    "NativeGroupNormModule_basic",
-    "ResNet18Module_basic",
-    "ResNet18StaticModule_basic",
     # END tests failing due to: 'torch.aten.add.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
 
     # ERROR: 'torch.aten.add.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.int'
@@ -255,9 +235,6 @@ TORCHDYNAMO_XFAIL_SET = {
     # ERROR: 'torch.aten.div.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.int'
     "ElementwiseAtenDivIntScalarModule_basic",
 
-    # ERROR: 'torch.aten.mul.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.int'
-    "ElementwiseMulScalarModule_int",
-
     # ERROR: 'torch.aten.sub.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
     "ElementwiseSubScalarFloatModule_basic",
     "ElementwiseSubScalarIntModule_basic",
@@ -315,10 +292,6 @@ TORCHDYNAMO_XFAIL_SET = {
     # ERROR: shape (torch.Size([12])) is not equal to golden shape (torch.Size([3, 4]))
     "ArangeStartOutViewModule_basic",
 
-    # ERROR: 'torch.aten.add.Tensor' op operand #1 must be Any Torch tensor type, but got '!torch.float'
-    "GroupNormModule_basic",
-    "GroupNormNoWeightAndBiasModule_basic",
-
     # Dynamo does not support tracing quantized tensors
     "ElementwiseDequantizePerChannelModule_basic",
     "ElementwiseDequantizePerTensorModule_basic",
@@ -376,6 +349,9 @@ TORCHDYNAMO_CRASHING_SET = {
     "MaxPool3dModule_basic",
     "MaxPool3dStaticCeilModeTrueModule_basic",
     "MaxPool3dStaticModule_basic",
+
+    # Looks like incorrect fx graph conversion
+    "ElementwiseAddScalar_TensorLiteralInt32_Module_basic",
 }
 
 STABLEHLO_PASS_SET = {
diff --git a/projects/pt1/python/torch_mlir_e2e_test/configs/torchdynamo.py b/projects/pt1/python/torch_mlir_e2e_test/configs/torchdynamo.py
index e5c2475c7..bdc410741 100644
--- a/projects/pt1/python/torch_mlir_e2e_test/configs/torchdynamo.py
+++ b/projects/pt1/python/torch_mlir_e2e_test/configs/torchdynamo.py
@@ -53,6 +53,40 @@ def _returns_empty_tuple(fx_graph: torch.fx.GraphModule) -> bool:
                 return False
     return True
 
+# Replaces torch.aten.add.Tensor/torch.aten.mul.Tensor to 
+# torch.aten.add.Scalar/torch.aten.mul.Scalar in case of Scalar argument
+# Cannot be done on earlier stage, e.g. in _FXGraphImporter as it 
+# needs to check argument types, which are not yet determined. 
+# Maybe schema or target should be changed, but it decided in
+# _dynamo eval_frame on pytorch side. Also Python schema not matches
+# with mlir Schema - check include/torch-mlir/Dialect/Torch/IR/GeneratedTorchOps.td
+# So in general it covers some of overload cases, which done on Python side automatically.
+# e.g. conversion Scalar -> Tensor and vice versa
+def scalarize_tensor_ops_on_scalars(gm: torch.fx.GraphModule):
+    # Modify gm.graph
+    for node in gm.graph.nodes:
+        # Checks if we're calling a function (i.e:
+        # torch.add)
+        if node.op == 'call_function':
+            # The target attribute is the function
+            # that call_function calls.
+            # call_function[target=torch.ops.aten.add.Tensor](args = (%arg64_1, 1), kwargs = {})
+            if node.target == torch.ops.aten.add.Tensor:
+                if len(node.args) != 2 or node.kwargs != {}:
+                    continue
+                elif not isinstance(node.args[1], torch.fx.node.Node):
+                    node.target = torch.ops.aten.add.Scalar
+            if node.target == torch.ops.aten.mul.Tensor:
+                if len(node.args) != 2 or node.kwargs != {}:
+                    continue
+                elif not isinstance(node.args[1], torch.fx.node.Node):
+                    node.target = torch.ops.aten.mul.Scalar
+
+    gm.graph.lint() # Does some checks to make sure the
+
+    # Recompile the forward() method of `gm` from its Graph
+    gm.recompile()
+
 
 def jit(
     model: torch.nn.Module,
@@ -87,6 +121,8 @@ def jit(
         # way of differentiating between the two.
         assert not _returns_empty_tuple(gm), "encountered graph that does not return anything"
 
+        scalarize_tensor_ops_on_scalars(gm)
+
         nonlocal mlir_module
         *_, model_name, nth_graph = get_aot_compilation_context()
         mlir_module = import_fx_graph_as_func(gm.graph, model_name)