diff --git a/spec/lib/gitlab/import_export/project.light.json b/spec/lib/gitlab/import_export/project.light.json
index c13cf4a0507..a401ce4c0c7 100644
--- a/spec/lib/gitlab/import_export/project.light.json
+++ b/spec/lib/gitlab/import_export/project.light.json
@@ -7,7 +7,7 @@
   "milestones": [
     {
       "id": 1,
-      "title": "Project milestone",
+      "title": "A milestone",
       "project_id": 8,
       "description": "Project-level milestone",
       "due_date": null,
@@ -66,7 +66,7 @@
       "group_milestone_id": null,
       "milestone": {
         "id": 1,
-        "title": "Project milestone",
+        "title": "A milestone",
         "project_id": 8,
         "description": "Project-level milestone",
         "due_date": null,
@@ -86,7 +86,7 @@
           "updated_at": "2017-08-15T18:37:40.795Z",
           "label": {
             "id": 6,
-            "title": "Another project label",
+            "title": "Another label",
             "color": "#A8D695",
             "project_id": null,
             "created_at": "2017-08-15T18:37:19.698Z",
diff --git a/spec/lib/gitlab/import_export/project_tree_restorer_spec.rb b/spec/lib/gitlab/import_export/project_tree_restorer_spec.rb
index 68ddc947e02..613e4cb78d0 100644
--- a/spec/lib/gitlab/import_export/project_tree_restorer_spec.rb
+++ b/spec/lib/gitlab/import_export/project_tree_restorer_spec.rb
@@ -189,8 +189,8 @@ describe Gitlab::ImportExport::ProjectTreeRestorer do
 
           @project.pipelines.zip([2, 2, 2, 2, 2])
             .each do |(pipeline, expected_status_size)|
-              expect(pipeline.statuses.size).to eq(expected_status_size)
-            end
+            expect(pipeline.statuses.size).to eq(expected_status_size)
+          end
         end
       end
 
@@ -368,5 +368,38 @@ describe Gitlab::ImportExport::ProjectTreeRestorer do
                       milestones: 1,
                       first_issue_labels: 1
     end
+
+    context 'with existing group models' do
+      let!(:project) do
+        create(:project,
+               :builds_disabled,
+               :issues_disabled,
+               name: 'project',
+               path: 'project',
+               group: create(:group))
+      end
+
+      before do
+        project_tree_restorer.instance_variable_set(:@path, "spec/lib/gitlab/import_export/project.light.json")
+      end
+
+      it 'imports labels' do
+        create(:group_label, name: 'Another label', group: project.group)
+        expect_any_instance_of(Gitlab::ImportExport::Shared).not_to receive(:error)
+
+        restored_project_json
+
+        expect(project.labels.count).to eq(1)
+      end
+
+      it 'imports milestones' do
+        create(:milestone, name: 'A milestone', group: project.group)
+        expect_any_instance_of(Gitlab::ImportExport::Shared).not_to receive(:error)
+
+        restored_project_json
+
+        expect(project.milestones.count).to eq(1)
+      end
+    end
   end
 end