Preheat a grill to medium high heat/ 375F.
Divide the italian sausage into five portions; flatten out to approximately 1/4".Place one slice of mozzarella on top of the sausage, then wrap the sausage around the cheese to form a cheese-filled patty. Seal up any openings.
Slice 5 1/2" thickness rounds of polenta. Sprinkle with salt and pepper and drizzle with olive oil.
Add the the sausage patties and polenta rounds to the grill. Cook for 6-8 minutes per side, until sausage is cooked and the cheese is melted, and the polenta has grill marks.
On a grill-safe or oven-safe tray, stack a sausage patty on top of a polenta round. Topped with 1/3 cup arrabbiata sauce over each stack and top with a mozzarella slice. Close the grill and cook until the cheese is melted and the sauce is bubbling.
Drizzle with balsamic glaze and sprinkle with basil. Serve immediately.