diff --git a/compiler/src/dotty/tools/dotc/core/TypeComparer.scala b/compiler/src/dotty/tools/dotc/core/TypeComparer.scala
index e1605c326a05..b3aaca843c10 100644
--- a/compiler/src/dotty/tools/dotc/core/TypeComparer.scala
+++ b/compiler/src/dotty/tools/dotc/core/TypeComparer.scala
@@ -2060,8 +2060,8 @@ class TypeComparer(@constructorOnly initctx: Context) extends ConstraintHandling
   /** The greatest lower bound of two types */
   def glb(tp1: Type, tp2: Type): Type = /*>|>*/ trace(s"glb(${tp1.show}, ${tp2.show})", subtyping, show = true) /*<|<*/ {
     if (tp1 eq tp2) tp1
-    else if (!tp1.exists) tp2
-    else if (!tp2.exists) tp1
+    else if !tp1.exists || (tp1 eq WildcardType) then tp2
+    else if !tp2.exists || (tp2 eq WildcardType) then tp1
     else if tp1.isAny && !tp2.isLambdaSub || tp1.isAnyKind || isBottom(tp2) then tp2
     else if tp2.isAny && !tp1.isLambdaSub || tp2.isAnyKind || isBottom(tp1) then tp1
     else tp2 match
@@ -2110,8 +2110,8 @@ class TypeComparer(@constructorOnly initctx: Context) extends ConstraintHandling
    */
   def lub(tp1: Type, tp2: Type, canConstrain: Boolean = false, isSoft: Boolean = true): Type = /*>|>*/ trace(s"lub(${tp1.show}, ${tp2.show}, canConstrain=$canConstrain, isSoft=$isSoft)", subtyping, show = true) /*<|<*/ {
     if (tp1 eq tp2) tp1
-    else if (!tp1.exists) tp1
-    else if (!tp2.exists) tp2
+    else if !tp1.exists || (tp2 eq WildcardType) then tp1
+    else if !tp2.exists || (tp1 eq WildcardType) then tp2
     else if tp1.isAny && !tp2.isLambdaSub || tp1.isAnyKind || isBottom(tp2) then tp1
     else if tp2.isAny && !tp1.isLambdaSub || tp2.isAnyKind || isBottom(tp1) then tp2
     else
diff --git a/compiler/test/dotty/tools/dotc/core/TypeComparerTest.scala b/compiler/test/dotty/tools/dotc/core/TypeComparerTest.scala
new file mode 100644
index 000000000000..92ae3f13eb52
--- /dev/null
+++ b/compiler/test/dotty/tools/dotc/core/TypeComparerTest.scala
@@ -0,0 +1,42 @@
+package dotty.tools
+package dotc
+package core
+
+import Contexts.*, Decorators.*, Denotations.*, SymDenotations.*, Symbols.*, Types.*
+import printing.Formatting.Show
+
+import org.junit.Test
+import org.junit.Assert.*
+
+class TypeComparerTest extends DottyTest:
+  val LongType = defn.LongType
+
+  // Ensure glb and lub give lower and upper bounds when one of the inputs is WildcardType
+  // and that glb and lub honours left identity and right identity, and thus is commutative with WildcardType
+  @Test def glbWildcardL = identityL("glb", glb)(LongType, id = WildcardType)
+  @Test def glbWildcardR = identityR("glb", glb)(LongType, id = WildcardType)
+  @Test def lubWildcardL = identityL("lub", lub)(LongType, id = WildcardType)
+  @Test def lubWildcardR = identityR("lub", lub)(LongType, id = WildcardType)
+
+  def identityL[A: Show](op: String, fn: (A, A) => A)(a: A, id: A) =
+    val x = fn(id, a)
+    assertEquals(i"$op(id=$id, $a) = $x, expected $a (left identity)", a, x)
+
+  def identityR[A: Show](op: String, fn: (A, A) => A)(a: A, id: A) =
+    val x = fn(a, id)
+    assertEquals(i"$op($a, id=$id) = $x, expected $a (right identity)", a, x)
+
+  // glb(a, b) = x such that x <: a, x <: b, & forAll y, y <: a, y <: b ==> y <: x
+  def glb(a: Type, b: Type) =
+    val x = TypeComparer.glb(a, b)
+    assertTrue(i"glb($a, $b) = $x, but $x !<: $a", x <:< a)
+    assertTrue(i"glb($a, $b) = $x, but $x !<: $b", x <:< b)
+    x
+
+  // lub(a, b) = x such that a <: x, b <: x, & forAll y, a <: y, b <: y ==> x <: y
+  def lub(a: Type, b: Type) =
+    val x = TypeComparer.lub(a, b)
+    assertTrue(i"lub($a, $b) = $x, but $a !<: $x", a <:< x)
+    assertTrue(i"lub($a, $b) = $x, but $b !<: $x", b <:< x)
+    x
+end TypeComparerTest