diff --git a/flash_attn/cute/flash_bwd_sm100.py b/flash_attn/cute/flash_bwd_sm100.py
index 3a2e821ed00..e06cd811fc6 100644
--- a/flash_attn/cute/flash_bwd_sm100.py
+++ b/flash_attn/cute/flash_bwd_sm100.py
@@ -84,7 +84,6 @@ def __init__(
         self.use_2cta_instrs = bool(
             use_2cta_instrs
             and cluster_size == 2
-            and not is_local
             and score_mod is None
             and score_mod_bwd is None
             and mask_mod is None
@@ -928,10 +927,6 @@ class SharedStorage:
                 "2-CTA mode does not support block sparsity. "
                 "Please create kernel with use_2cta_instrs=False for block sparse attention."
             )
-            assert window_size_left is None and window_size_right is None, (
-                "2-CTA mode does not support window attention. "
-                "Please create kernel with use_2cta_instrs=False for window attention."
-            )
         # 2-CTA: 231424 and 1-CTA: 232448
         # print("SMEM: ", self.shared_storage.size_in_bytes())
         if const_expr(self.use_block_sparsity or aux_tensors is not None):
diff --git a/flash_attn/cute/interface.py b/flash_attn/cute/interface.py
index 561332659a8..5aafacf03b0 100644
--- a/flash_attn/cute/interface.py
+++ b/flash_attn/cute/interface.py
@@ -1060,8 +1060,7 @@ def _flash_attn_bwd(
         AtomLayoutMdQ = 1
         AtomLayoutNdKV = 1
         disable_2cta = (
-            local
-            or score_mod is not None
+            score_mod is not None
             or score_mod_bwd is not None
             or mask_mod is not None
         )
diff --git a/tests/cute/test_flash_attn.py b/tests/cute/test_flash_attn.py
index 2eacce6a150..b6264702e40 100644
--- a/tests/cute/test_flash_attn.py
+++ b/tests/cute/test_flash_attn.py
@@ -297,8 +297,6 @@ def test_flash_attn_output(
             # and False
             and not ((causal or local) and seqlen_k < seqlen_q)
         ):
-            if d == 192 and local:
-                pytest.xfail("hdim 192 backward: local attention not supported yet")
             if d > 192 and IS_SM90:
                 pytest.xfail("hdim > 192 backward: SM90 not supported yet")
             if d != dv and mha_type != "mha" and IS_SM90:
@@ -405,7 +403,7 @@ def test_flash_attn_output(
 # @pytest.mark.parametrize('d', [32, 40, 64, 80, 96, 128])
 # @pytest.mark.parametrize("d", [64, 96, 128])
 # @pytest.mark.parametrize("d", [128, 192])
-@pytest.mark.parametrize("d", [64, 128])
+@pytest.mark.parametrize("d", [64, 128, 192])
 @pytest.mark.parametrize(
     "seqlen_q,seqlen_k",
     [
@@ -737,8 +735,6 @@ def _gen_unused_masks(padding_mask, add_unused, max_seq_len, bs, device):
             and not has_learnable_sink
             # and False
         ):
-            if d == 192 and local:
-                pytest.xfail("hdim 192 backward: local attention not supported yet")
             if d > 192 and IS_SM90:
                 pytest.xfail("hdim > 192 backward: SM90 not supported yet")
             if d != dv and mha_type != "mha" and IS_SM90:
diff --git a/tests/cute/test_flash_attn_race_condition.py b/tests/cute/test_flash_attn_race_condition.py
index 4e36733dc7f..a9b8799f4c1 100644
--- a/tests/cute/test_flash_attn_race_condition.py
+++ b/tests/cute/test_flash_attn_race_condition.py
@@ -255,8 +255,6 @@ def test_flash_attn_output(
                 pytest.xfail("SM90 backward: GQA/MQA has tensor layout issue (qhead_per_kvhead > 1)")
             if IS_SM90 and local:
                 pytest.xfail("SM90 backward: local attention not supported yet")
-            if d == 192 and local:
-                pytest.xfail("hdim 192 backward: local attention not supported yet")
             g = torch.randn_like(out)
             # do_o = ((g.float() * out.float()).sum(-1)).transpose(1, 2)
             dq, dk, dv = torch.autograd.grad(out, (q, k, v), g)
@@ -658,8 +656,6 @@ def _gen_unused_masks(padding_mask, add_unused, max_seq_len, bs, device):
             and not is_sm90
             # and False
         ):
-            if d == 192 and local:
-                pytest.xfail("hdim 192 backward: local attention not supported yet")
             g_unpad = torch.randn_like(out_unpad)
             # do_o = ((g_unpad.float() * out_unpad.float()).sum(-1)).transpose(-1, -2)
             # import flash_attn_3_cuda