Cook tortellini in a large pot of lightly salted boiling water until al dente, firm but tender. Drain; cool under cold running water.
Prepare Parmesan dip: Combine dressing. Parmesan cheese, parsley, garlic, salt if desired and pepper in a small bowl. Refrigerate until ready to serve.
Skewer tortellini on wooden picks; place on a serving plate. Serve with dip.