Add the tomato puree, heavy cream, milk, salt, pepper, Italian seasoning, red pepper flakes, and Parmesan cheese, and stir until melted. Simmer for 2 minutes. Season with salt and pepper. Mix in the cooked pasta and toss until well covered with the sauce. If you feel the sauce is too thick, add some of the pasta cooking water to thin it out. Serve with extra Parmesan cheese on top.