Preheat oven to 350F. Spray a baking sheet with nonstick cooking spray. Cut each of the rolls in half and roll out each piece into a 3-inch circle. Top each circle with an equal amount of cheese, then top with a meatball. Bring the sides of the dough up around the meatball and pinch to enclose.
Place the balls, seam side down, on the prepared baking sheet. Brush each ball with the melted butter, then roll in the bread crumbs. Return to the baking sheet and bake in the preheated oven for 15 minutes, or until golden brown. Serve with Marianna sauce on the side for dipping.