diff --git a/compiler/src/dotty/tools/dotc/interactive/Completion.scala b/compiler/src/dotty/tools/dotc/interactive/Completion.scala
index 0692862c58ed..15628c3b83e8 100644
--- a/compiler/src/dotty/tools/dotc/interactive/Completion.scala
+++ b/compiler/src/dotty/tools/dotc/interactive/Completion.scala
@@ -416,7 +416,7 @@ object Completion {
       // 1. The extension method is visible under a simple name, by being defined or inherited or imported in a scope enclosing the reference.
       val termCompleter = new Completer(Mode.Term, prefix, pos)
       val extMethodsInScope = termCompleter.scopeCompletions.toList.flatMap {
-        case (name, denots) => denots.collect { case d: SymDenotation => (d.termRef, name.asTermName) }
+        case (name, denots) => denots.collect { case d: SymDenotation if d.isTerm => (d.termRef, name.asTermName) }
       }
 
       // 2. The extension method is a member of some given instance that is visible at the point of the reference.
@@ -467,8 +467,8 @@ object Completion {
       !sym.isPackageObject &&
       !sym.is(Artifact) &&
       (
-           (mode.is(Mode.Term) && sym.isTerm)
-        || (mode.is(Mode.Type) && (sym.isType || sym.isStableMember))
+           (mode.is(Mode.Term) && (sym.isTerm || sym.is(ModuleClass))
+        || (mode.is(Mode.Type) && (sym.isType || sym.isStableMember)))
       )
 
     /** @param site The type to inspect.
diff --git a/language-server/test/dotty/tools/languageserver/CompletionTest.scala b/language-server/test/dotty/tools/languageserver/CompletionTest.scala
index 062fa3db11fa..b97b343e0791 100644
--- a/language-server/test/dotty/tools/languageserver/CompletionTest.scala
+++ b/language-server/test/dotty/tools/languageserver/CompletionTest.scala
@@ -1224,4 +1224,25 @@ class CompletionTest {
         |def foo(x: Bar[M]) = x.bar.ma${m1}"""
           .withSource.completion(m1, expected)
   }
+
+  @Test def packageCompletionsOutsideImport: Unit = {
+    val expected = Set(
+      ("java", Module, "java"),
+      ("javax", Module, "javax"),
+    )
+    code"""object Foo { ja${m1}"""
+             .withSource.completion(m1, expected)
+  }
+
+  @Test def topLevelPackagesCompletionsOutsideImport: Unit = {
+    val expected = Set(
+      ("example", Module, "example"),
+    )
+    code"""package example:
+          |    def foo = ""
+          |
+          |def main = exa${m1}"""
+             .withSource.completion(m1, expected)
+  }
+
 }