diff --git a/diffgraph/git_snapshot.py b/diffgraph/git_snapshot.py
index 745b6ee..fc21d5a 100644
--- a/diffgraph/git_snapshot.py
+++ b/diffgraph/git_snapshot.py
@@ -150,7 +150,7 @@ def resolve_commit_range(
     comparison_base_oid = base_oid
     if three_dot:
         output = _run(
-            ["git", "merge-base", base_oid, head_oid], root, warnings,
+            ["git", "merge-base", "--all", base_oid, head_oid], root, warnings,
             "merge_base_failed",
         )
         if output is None:
@@ -158,8 +158,8 @@ def resolve_commit_range(
                 base_ref, head_ref, three_dot, warnings=warnings,
                 base_oid=base_oid, head_oid=head_oid,
             )
-        comparison_base_oid = os.fsdecode(output).strip()
-        if not _is_hex_oid(comparison_base_oid):
+        merge_bases = sorted(set(os.fsdecode(output).splitlines()))
+        if not merge_bases or any(not _is_hex_oid(oid) for oid in merge_bases):
             warnings.append(ResolutionWarning(
                 "malformed_merge_base",
                 "Git returned an invalid merge-base object ID",
@@ -168,6 +168,18 @@ def resolve_commit_range(
                 base_ref, head_ref, three_dot, warnings=warnings,
                 base_oid=base_oid, head_oid=head_oid,
             )
+        if len(merge_bases) != 1:
+            warnings.append(ResolutionWarning(
+                "ambiguous_merge_base",
+                "Git returned {} merge bases; a three-dot comparison requires one exact base".format(
+                    len(merge_bases)
+                ),
+            ))
+            return _commit_range_result(
+                base_ref, head_ref, three_dot, warnings=warnings,
+                base_oid=base_oid, head_oid=head_oid,
+            )
+        comparison_base_oid = merge_bases[0]
 
     command = [
         "git", "diff", "--raw", "-z", "--no-abbrev", "--no-ext-diff",
diff --git a/tests/test_git_snapshot.py b/tests/test_git_snapshot.py
index 5fa365f..ea8b87f 100644
--- a/tests/test_git_snapshot.py
+++ b/tests/test_git_snapshot.py
@@ -652,6 +652,44 @@ def test_three_dot_without_merge_base_is_a_warning_not_a_change(tmp_path):
     assert [warning.code for warning in result.warnings] == ["merge_base_failed"]
 
 
+def test_three_dot_with_multiple_merge_bases_is_a_warning_not_a_change(tmp_path):
+    """A criss-cross history must not silently select one merge base."""
+    repo = make_repo(tmp_path)
+    write(repo, "shared.txt", b"common\n")
+    commit_all(repo, "common")
+    git(repo, "branch", "left-start")
+
+    write(repo, "left.txt", b"left\n")
+    commit_all(repo, "left change")
+    left_change = oid(repo, "HEAD")
+    git(repo, "branch", "left-change")
+
+    git(repo, "switch", "left-start")
+    write(repo, "right.txt", b"right\n")
+    commit_all(repo, "right change")
+    right_change = oid(repo, "HEAD")
+    git(repo, "branch", "right-change")
+
+    git(repo, "switch", "left-change")
+    git(repo, "merge", "--no-ff", "right-change", "-m", "left merge")
+    git(repo, "branch", "left")
+
+    git(repo, "switch", "right-change")
+    git(repo, "merge", "--no-ff", left_change, "-m", "right merge")
+    git(repo, "branch", "right")
+
+    assert set(git(repo, "merge-base", "--all", "left", "right").splitlines()) == {
+        left_change.encode(), right_change.encode(),
+    }
+    result = resolve_commit_range(str(repo), "left", "right", three_dot=True)
+
+    assert result.entries == ()
+    assert result.comparison_base_oid is None
+    assert [(warning.code, warning.path) for warning in result.warnings] == [
+        ("ambiguous_merge_base", None),
+    ]
+
+
 def test_incomplete_raw_object_ids_are_not_reported_as_exact_snapshots():
     raw = git_snapshot._RawEntry(
         status="M",