In a medium bowl, mix the breadcrumbs and milk. Squish with a fork to form into a thick paste. With your hands, combine the turkey, breadcrumb mixture, egg, salt, pepper, snipped basil and parsley. Form into 1 inch balls and place on a platter. Cover and refrigerate until ready to cook.
In a skillet, heat olive oil over medium-high heat. Place meatballs in skillet and cook 5 to 7 minutes per side. Pour tomato sauce over the meatballs, reduce heat to medium. Cook for another 5 minutes, checking for doneness.
Preheat broiler. Line a baking sheet with aluminium foil and arrange rolls on it. Place a few basil leaves in each roll, top with meatballs, extra sauce if desired and a slice of cheese. Broil until cheese is melted and rolls are becoming toasted.