Place the block of feta cheese in the center of the dish. Gently turn it a couple of times so that it becomes coated with oil and seasonings.
Place in the preheated oven and bake for 35 minutes, or until the tomatoes burst and the feta softens.
Toss the cooked pasta into the dish, adding reserved pasta water as needed to create a smooth, creamy sauce. Serve warm and garnish with extra fresh basil if desired.