diff --git a/src/dvc_data/index/push.py b/src/dvc_data/index/push.py
index 63bd6534..5e6e555b 100644
--- a/src/dvc_data/index/push.py
+++ b/src/dvc_data/index/push.py
@@ -1,6 +1,6 @@
 import logging
 from functools import partial
-from typing import TYPE_CHECKING, Any, Optional
+from typing import TYPE_CHECKING, Any, Optional, Set
 
 from dvc_objects.fs.callbacks import DEFAULT_CALLBACK
 
@@ -18,6 +18,7 @@
 
     from dvc_data.hashfile.meta import Meta
 
+    from .index import DataIndexKey
 
 logger = logging.getLogger(__name__)
 
@@ -31,7 +32,10 @@ def _meta_checksum(fs: "FileSystem", meta: "Meta") -> Any:
     return getattr(meta, fs.PARAM_CHECKSUM)
 
 
-def _onerror(src_path, dest_path, _exc):
+def _onerror(cache, data, failed_keys, src_path, dest_path, exc):
+    if not isinstance(exc, FileNotFoundError) or cache.fs.exists(src_path):
+        failed_keys.add(data.fs.path.relparts(dest_path, data.path))
+
     logger.debug(
         "failed to create '%s' from '%s'",
         src_path,
@@ -45,7 +49,7 @@ def push(
     callback: "Callback" = DEFAULT_CALLBACK,
     jobs: Optional[int] = None,
 ):
-    fetched, failed = 0, 0
+    pushed, failed = 0, 0
     for fs_index in idxs:
         data = fs_index.storage_map[()].data
         cache = fs_index.storage_map[()].cache
@@ -75,7 +79,7 @@ def push(
                     validate_status=_log_missing,
                     callback=cb,
                 )
-                fetched += len(result.transferred)
+                pushed += len(result.transferred)
                 failed += len(result.failed)
             else:
                 old = build(data.path, data.fs)
@@ -86,6 +90,9 @@ def push(
                     meta_cmp_key=partial(_meta_checksum, data.fs),
                 )
                 data.fs.makedirs(data.fs.path.parent(data.path), exist_ok=True)
+
+                failed_keys: Set["DataIndexKey"] = set()
+
                 apply(
                     diff,
                     data.path,
@@ -96,8 +103,11 @@ def push(
                     jobs=jobs,
                     callback=cb,
                     links=["reflink", "copy"],
-                    onerror=_onerror,
+                    onerror=partial(_onerror, cache, data, failed_keys),
                 )
-                fetched += len(diff.changes.get("added", []))
 
-    return fetched, failed
+                added_keys = {ch.key for ch in diff.changes.get("added", [])}
+                pushed += len(added_keys - failed_keys)
+                failed += len(failed_keys)
+
+    return pushed, failed