diff --git a/compiler/src/dotty/tools/dotc/core/Types.scala b/compiler/src/dotty/tools/dotc/core/Types.scala
index 1ebf13b0845f..aa550be11c0e 100644
--- a/compiler/src/dotty/tools/dotc/core/Types.scala
+++ b/compiler/src/dotty/tools/dotc/core/Types.scala
@@ -1217,34 +1217,44 @@ object Types {
     /** The singleton types that must or may be in this type. @see Atoms.
      *  Overridden and cached in OrType.
      */
-    def atoms(using Context): Atoms = dealias match
-      case tp: SingletonType =>
-        def normalize(tp: Type): Type = tp match
-          case tp: SingletonType =>
-            tp.underlying.dealias match
-              case tp1: SingletonType => normalize(tp1)
-              case _ =>
-                tp match
-                  case tp: TermRef => tp.derivedSelect(normalize(tp.prefix))
-                  case _ => tp
-          case _ => tp
-        tp.underlying.atoms match
-          case as @ Atoms.Range(lo, hi) =>
-            if hi.size == 1 then as // if there's just one atom, there's no uncertainty which one it is
-            else Atoms.Range(Set.empty, hi)
-          case Atoms.Unknown =>
-            if tp.isStable then
-              val single = Set.empty + normalize(tp)
-              Atoms.Range(single, single)
-            else Atoms.Unknown
-      case tp: ExprType => tp.resType.atoms
-      case tp: OrType => tp.atoms // `atoms` overridden in OrType
-      case tp: AndType => tp.tp1.atoms & tp.tp2.atoms
-      case tp: TypeProxy =>
-        tp.underlying.atoms match
-          case Atoms.Range(_, hi) => Atoms.Range(Set.empty, hi)
-          case Atoms.Unknown => Atoms.Unknown
-      case _ => Atoms.Unknown
+    def atoms(using Context): Atoms =
+      def normalize(tp: Type): Type = tp match
+        case tp: SingletonType =>
+          tp.underlying.dealias match
+            case tp1: SingletonType => normalize(tp1)
+            case _ =>
+              tp match
+                case tp: TermRef => tp.derivedSelect(normalize(tp.prefix))
+                case _ => tp
+        case _ => tp
+
+      def single(tp: Type): Atoms =
+        if tp.isStable then
+          val set = Set.empty + normalize(tp)
+          Atoms.Range(set, set)
+        else Atoms.Unknown
+
+      dealias match
+        case tp: SingletonType =>
+          tp.underlying.atoms match
+            case as @ Atoms.Range(lo, hi) =>
+              if hi.size == 1 then as // if there's just one atom, there's no uncertainty which one it is
+              else Atoms.Range(Set.empty, hi)
+            case Atoms.Unknown =>
+              single(tp)
+        case tp: ExprType => tp.resType.atoms
+        case tp: OrType => tp.atoms // `atoms` overridden in OrType
+        case tp: AndType => tp.tp1.atoms & tp.tp2.atoms
+        case tp: TypeRef if tp.symbol.is(ModuleClass) =>
+          // The atom of a module class is the module itself,
+          // this corresponds to the special case in TypeComparer
+          // which ensures that `X$ <:< X.type` returns true.
+          single(tp.symbol.companionModule.termRef.asSeenFrom(tp.prefix, tp.symbol.owner))
+        case tp: TypeProxy =>
+          tp.underlying.atoms match
+            case Atoms.Range(_, hi) => Atoms.Range(Set.empty, hi)
+            case Atoms.Unknown => Atoms.Unknown
+        case _ => Atoms.Unknown
 
     private def dealias1(keep: AnnotatedType => Context ?=> Boolean)(using Context): Type = this match {
       case tp: TypeRef =>
diff --git a/tests/patmat/outer-ref-checks.scala b/tests/patmat/outer-ref-checks.scala
index 9b2de381ad73..b9b6d563be3a 100644
--- a/tests/patmat/outer-ref-checks.scala
+++ b/tests/patmat/outer-ref-checks.scala
@@ -16,7 +16,6 @@ class Outer {
 
   def belongsOtherOuter(a: Outer#Inner): Unit = a match {
     case Inner(s) => // unchecked warning
-    case O.Inner(s) => // unchecked warning
     case _ =>
   }
 }
diff --git a/tests/pos/object-union-inf.scala b/tests/pos/object-union-inf.scala
new file mode 100644
index 000000000000..6e6a2d1f1239
--- /dev/null
+++ b/tests/pos/object-union-inf.scala
@@ -0,0 +1,19 @@
+class A
+object ObjA extends A
+class B
+object ObjB extends B
+
+object Test {
+  def foo[T <: A | B](t: T): List[T] = List(t)
+  val x: ObjA.type | ObjB.type = ObjA
+
+  // infers `T = ObjA$ | ObjB$` instead of `ObjA.type | ObjB.type` due to the
+  // use of `widenSingleton` in TypeComparer#secondTry when the lhs is a union
+  // type.
+  val y = foo(ObjA : ObjA.type | ObjB.type)
+
+  // This only compiles if `ObjA$ <:< ObjA.type`, there is a special-case in
+  // `firstTry` for that but we also need a special case in `atoms` since unions
+  // are involved.
+  val z: List[ObjA.type | ObjB.type] = y
+}