Bring a large pot of salted water to a boil. Cook the pasta according to the package directions until al dente.
While pasta is cooking, add the marinara and heavy cream to a large oven-safe saucepan (see note) over medium heat. Cook until the sauce starts to simmer. Then, reduce the heat to low and stir in the Parmesan cheese. Stir frequently until the pasta has finished cooking.
Drain the pasta and pour it into the skillet with the sauce. Stir to coat the pasta. Add the tomatoes, fresh Mozzarella balls, and basil to the pasta. Stir to combine.
Place the saucepan into the oven and bake for 20 minutes or until the cheese has melted.
Remove from oven and top with more chopped basil and Parmesan cheese before serving warm. Drizzle with balsamic glaze if desired.
Notes
If you don't have an oven-safe saucoena or Dutch oven, you can transfer everything to a greased baking dish and use that to bake the pasta.