Preheat oven to 400°F.
Add the cherry tomatoes to a baking dish. Pour olive oil over the tomatoes and season with salt, pepper, Italian seasoning, and red chili flakes. Toss to coat.
Place the feta block in the center of the baking dish surrounded by the tomatoes. Flip the feta a couple times in the oil and seasoning.
Bake for 35 minutes until the tomatoes burst and the feta is soft and melty.
While the feta and tomatoes bake, cook the pasta according to package instructions until al dente. Reserve 1/2 cup pasta water before draining.
Remove the baking dish from the oven and immediately stir in the minced garlic and chopped basil.
Add the cooked pasta to the baking dish and toss everything together until creamy and combined. Add a splash of reserved pasta water if needed.
Garnish with extra basil and serve warm.