diff --git a/python/src/com/jetbrains/python/psi/resolve/VariantsProcessor.java b/python/src/com/jetbrains/python/psi/resolve/VariantsProcessor.java
index 1786f9140774..307f50c1c903 100644
--- a/python/src/com/jetbrains/python/psi/resolve/VariantsProcessor.java
+++ b/python/src/com/jetbrains/python/psi/resolve/VariantsProcessor.java
@@ -104,12 +104,12 @@ public class VariantsProcessor implements PsiScopeProcessor {
       if (element instanceof PyImportElement) {
         PyReferenceExpression ref = ((PyImportElement)element).getImportReference();
         if (ref != null) {
-          final String name = ref.getName();
-          if (nameIsAcceptable(name)) {
+          String name = ref.getName();
+          if (name != null && nameIsAcceptable(name)) {
             PsiElement resolved = ref.getReference().resolve();
             if (resolved instanceof PsiNamedElement) {
               handled_as_imported = true;
-              myVariants.put(name, setupItem(LookupElementBuilder.create((PsiNamedElement)resolved)));
+              myVariants.put(name, setupItem(LookupElementBuilder.create(resolved, name).setIcon(resolved.getIcon(0))));
             }
           }
         }
diff --git a/python/testData/completion/importedFile.after.py b/python/testData/completion/importedFile.after.py
new file mode 100644
index 000000000000..1d29a58d3a07
--- /dev/null
+++ b/python/testData/completion/importedFile.after.py
@@ -0,0 +1,3 @@
+from root import nested_mod
+
+n = nested_mod
\ No newline at end of file
diff --git a/python/testData/completion/importedFile.py b/python/testData/completion/importedFile.py
new file mode 100644
index 000000000000..1844ab32919f
--- /dev/null
+++ b/python/testData/completion/importedFile.py
@@ -0,0 +1,3 @@
+from root import nested_mod
+
+n = nested_m<caret>
\ No newline at end of file
diff --git a/python/testSrc/com/jetbrains/python/PythonCompletionTest.java b/python/testSrc/com/jetbrains/python/PythonCompletionTest.java
index 589324b50757..8e5dbf61ac13 100644
--- a/python/testSrc/com/jetbrains/python/PythonCompletionTest.java
+++ b/python/testSrc/com/jetbrains/python/PythonCompletionTest.java
@@ -213,4 +213,12 @@ public class PythonCompletionTest extends PyLightFixtureTestCase {
     myFixture.completeBasic();
     myFixture.checkResultByFile("completion/importItself.after.py");
   }
+
+  public void testImportedFile() { // PY-1955
+    final String dirname = "completion/";
+    myFixture.copyDirectoryToProject(dirname + "root", dirname + "root");
+    myFixture.configureByFile(dirname + "importedFile.py");
+    myFixture.completeBasic();
+    myFixture.checkResultByFile(dirname + "importedFile.after.py");
+  }
 }
\ No newline at end of file