HEAT oil in large skillet over medium-high heat. Add onion, garlic, basil and oregano; cook until onion is tender. Add tomatoes and juice and ham; cook for 5 minutes. Add vodka; cook for 5 minutes. Stir in evaporated milk and cheese. Cook over low heat, stirring occasionally, until slightly thickened. Season with salt and ground black pepper.
PREPARE pasta according to package directions.
TOSS pasta with sauce mixture. Garnish with additional Parmesan cheese, if desired.