diff --git a/pandas/core/internals/managers.py b/pandas/core/internals/managers.py
index e43c7bf887bcc..8e16d31b49150 100644
--- a/pandas/core/internals/managers.py
+++ b/pandas/core/internals/managers.py
@@ -1337,7 +1337,8 @@ def _slice_take_blocks_ax0(
         # When filling blknos, make sure blknos is updated before appending to
         # blocks list, that way new blkno is exactly len(blocks).
         blocks = []
-        for blkno, mgr_locs in libinternals.get_blkno_placements(blknos, group=True):
+        group = not only_slice
+        for blkno, mgr_locs in libinternals.get_blkno_placements(blknos, group=group):
             if blkno == -1:
                 # If we've got here, fill_value was not lib.no_default
 
diff --git a/pandas/tests/frame/test_arithmetic.py b/pandas/tests/frame/test_arithmetic.py
index b8ca5f16e4060..993b644c6993b 100644
--- a/pandas/tests/frame/test_arithmetic.py
+++ b/pandas/tests/frame/test_arithmetic.py
@@ -1514,3 +1514,16 @@ def test_dataframe_series_extension_dtypes():
     tm.assert_frame_equal(result, expected)
     result = df_ea + ser.astype("Int64")
     tm.assert_frame_equal(result, expected)
+
+
+def test_dataframe_blockwise_slicelike():
+    # GH#34367
+    arr = np.random.randint(0, 1000, (100, 10))
+    df1 = pd.DataFrame(arr)
+    df2 = df1.copy()
+    df2.iloc[0, [1, 3, 7]] = np.nan
+
+    res = df1 + df2
+
+    expected = pd.DataFrame({i: df1[i] + df2[i] for i in df1.columns})
+    tm.assert_frame_equal(res, expected)