diff --git a/rewrite-kotlin/src/main/java/org/openrewrite/kotlin/internal/KotlinTreeParserVisitor.java b/rewrite-kotlin/src/main/java/org/openrewrite/kotlin/internal/KotlinTreeParserVisitor.java
index 9247c95887..2b61764637 100644
--- a/rewrite-kotlin/src/main/java/org/openrewrite/kotlin/internal/KotlinTreeParserVisitor.java
+++ b/rewrite-kotlin/src/main/java/org/openrewrite/kotlin/internal/KotlinTreeParserVisitor.java
@@ -3641,15 +3641,51 @@ private JavaType.Primitive primitiveType(PsiElement psi) {
     }
 
     private JavaType.@Nullable Variable variableType(PsiElement psi, @Nullable FirElement parent) {
-        return psiElementAssociations.variableType(psi, parent);
+        JavaType.Variable psiType = psiElementAssociations.variableType(psi, parent);
+        return psiType == null ? null : psiType.withType(mapPrimitiveType(psiType.getType()));
     }
 
     private JavaType.@Nullable Method methodDeclarationType(PsiElement psi) {
-        return psiElementAssociations.methodDeclarationType(psi);
+        JavaType.Method psiType = psiElementAssociations.methodDeclarationType(psi);
+        return psiType == null ? null : psiType.withParameterTypes(mapPrimitiveTypes(psiType.getParameterTypes()));
     }
 
     private JavaType.@Nullable Method methodInvocationType(PsiElement psi) {
-        return psiElementAssociations.methodInvocationType(psi);
+        JavaType.Method psiType = psiElementAssociations.methodInvocationType(psi);
+        return psiType == null ? null : psiType.withParameterTypes(mapPrimitiveTypes(psiType.getParameterTypes()));
+    }
+
+    private static List<JavaType> mapPrimitiveTypes(List<JavaType> types) {
+        return ListUtils.map(types, KotlinTreeParserVisitor::mapPrimitiveType);
+    }
+
+    private static JavaType mapPrimitiveType(JavaType type) {
+        if (type instanceof JavaType.Class) {
+            String fullyQualifiedName = ((JavaType.Class) type).getFullyQualifiedName();
+            switch (fullyQualifiedName) {
+                case "kotlin.Boolean":
+                    return JavaType.Primitive.Boolean;
+                case "kotlin.Byte":
+                    return JavaType.Primitive.Byte;
+                case "kotlin.Char":
+                    return JavaType.Primitive.Char;
+                case "kotlin.Double":
+                    return JavaType.Primitive.Double;
+                case "kotlin.Float":
+                    return JavaType.Primitive.Float;
+                case "kotlin.Int":
+                    return JavaType.Primitive.Int;
+                case "kotlin.Long":
+                    return JavaType.Primitive.Long;
+                case "kotlin.Short":
+                    return JavaType.Primitive.Short;
+                case "kotlin.String":
+                    return JavaType.Primitive.String;
+                case "kotlin.Void":
+                    return JavaType.Primitive.Void;
+            }
+        }
+        return type;
     }
 
     /*====================================================================
diff --git a/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/MethodMatcherTest.java b/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/MethodMatcherTest.java
index 688372f16f..9246539dcb 100644
--- a/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/MethodMatcherTest.java
+++ b/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/MethodMatcherTest.java
@@ -16,6 +16,8 @@
 package org.openrewrite.kotlin;
 
 import org.junit.jupiter.api.Test;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.ValueSource;
 import org.openrewrite.DocumentExample;
 import org.openrewrite.ExecutionContext;
 import org.openrewrite.java.MethodMatcher;
@@ -58,4 +60,39 @@ fun usesFunction() {
           )
         );
     }
+
+    @ParameterizedTest
+    @ValueSource(strings = {
+      "java.lang.Math max(int, int)",
+      "java.lang.Math max(..)"
+    })
+    void matchesMethodPatternOfJavaMethodWithAnyArgument(String methodPattern) {
+        rewriteRun(
+          spec -> spec.recipe(toRecipe(() -> new KotlinIsoVisitor<>() {
+              private final MethodMatcher methodMatcher = new MethodMatcher(methodPattern, true);
+
+              @Override
+              public J.MethodInvocation visitMethodInvocation(J.MethodInvocation method, ExecutionContext p) {
+                  if (methodMatcher.matches(method)) {
+                      return SearchResult.found(method);
+                  }
+                  return super.visitMethodInvocation(method, p);
+              }
+          })),
+          kotlin(
+            """
+              import java.lang.Math
+              fun max(a: Int, b: Int) : Int {
+                  return Math.max(a, b)
+              }
+              """,
+            """
+              import java.lang.Math
+              fun max(a: Int, b: Int) : Int {
+                  return /*~~>*/Math.max(a, b)
+              }
+              """
+          )
+        );
+    }
 }
diff --git a/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/UseStaticImportTest.java b/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/UseStaticImportTest.java
index 285970b40b..cb169cda25 100644
--- a/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/UseStaticImportTest.java
+++ b/rewrite-kotlin/src/test/java/org/openrewrite/kotlin/UseStaticImportTest.java
@@ -45,7 +45,7 @@ void noPriorImports() {
     @Test
     void withImports() {
         rewriteRun(
-          spec -> spec.recipe(new UseStaticImport("java.lang.Integer valueOf(kotlin.Int)")),
+          spec -> spec.recipe(new UseStaticImport("java.lang.Integer valueOf(int)")),
           kotlin(
             """
               import java.util.Collections