Cook tortellini according to package directions; drain and rinse in cold water. In a large resealable plastic bag, combine the tortellini, olives and salad dressing. Seal bag and turn to coat; refrigerate for 4 hours or overnight.

Drain and discard marinade. For each appetizer, thread a stuffed olive, folded pepperoni slice, tortellini, folded salami piece, ripe olive and, if desired, parsley sprig, on a toothpick or short skewer.