diff --git a/compiler/src/dotty/tools/dotc/typer/Applications.scala b/compiler/src/dotty/tools/dotc/typer/Applications.scala
index 24b9bfbd9ed6..fb05af087a19 100644
--- a/compiler/src/dotty/tools/dotc/typer/Applications.scala
+++ b/compiler/src/dotty/tools/dotc/typer/Applications.scala
@@ -1780,14 +1780,20 @@ trait Applications extends Compatibility {
       def winsType2 = isAsSpecific(alt2, tp2, alt1, tp1)
 
       overload.println(i"compare($alt1, $alt2)? $tp1 $tp2 $ownerScore $winsType1 $winsType2")
-      if (ownerScore == 1)
-        if (winsType1 || !winsType2) 1 else 0
-      else if (ownerScore == -1)
-        if (winsType2 || !winsType1) -1 else 0
-      else if (winsType1)
-        if (winsType2) 0 else 1
+      if winsType1 && winsType2
+          && alt1.widenExpr.isStable && (alt1.widenExpr frozen_=:= alt2.widenExpr)
+      then
+        // alternatives are the same after following ExprTypes, pick one of them
+        // (prefer the one that is not a method, but that's arbitrary).
+        if alt1.widenExpr =:= alt2 then -1 else 1
+      else if ownerScore == 1 then
+        if winsType1 || !winsType2 then 1 else 0
+      else if ownerScore == -1 then
+        if winsType2 || !winsType1 then -1 else 0
+      else if winsType1 then
+        if winsType2 then 0 else 1
       else
-        if (winsType2) -1 else 0
+        if winsType2 then -1 else 0
     }
 
     if alt1.symbol.is(ConstructorProxy) && !alt2.symbol.is(ConstructorProxy) then -1
diff --git a/tests/pos/i18768.scala b/tests/pos/i18768.scala
new file mode 100644
index 000000000000..67a5bd127200
--- /dev/null
+++ b/tests/pos/i18768.scala
@@ -0,0 +1,44 @@
+package minimized:
+  object Module:
+    object Exportee:
+
+      opaque type Id = Long
+
+      def apply(): Id = ???
+
+      extension (e: Id)
+        def updated: Id = ???
+
+
+  object Client:
+    export Module.*
+    val x = Exportee().updated
+
+package original:
+  object Module:
+    trait EntityDef:
+      type Id
+      type Record
+      type Entity = (Id, Record)
+
+      extension (e: Entity)
+        def updated: Entity = e
+
+    case class Exportee()
+    object Exportee extends EntityDef:
+      opaque type Id = Long
+      type Record = Exportee
+
+      def apply(id: Long): Entity = (id, Exportee())
+
+  object Client:
+    export Module.*
+    val x = Exportee(1L).updated
+
+
+  object ClientWorkingWithManualExport:
+    export Module.{Exportee as _, *}
+    type Exportee = Module.Exportee
+    val Exportee = Module.Exportee
+
+    val x = Exportee(1L).updated