In a large baking dish, add the cherry tomatoes and drizzle them with 2 tablespoons of olive oil. Season with salt, pepper, and dried oregano.
Place the block of feta cheese in the center of the baking dish, surrounding it with the seasoned cherry tomatoes. Drizzle the feta with the remaining olive oil and sprinkle with red pepper flakes.
Bake in the preheated oven for about 25-30 minutes, until the tomatoes are blistered and the feta is soft and starting to brown.
While the feta and tomatoes are baking, cook the pasta according to the package instructions in salted water until al dente. Reserve 1 cup of the pasta water before draining the pasta.
Once the baking is done, remove the dish from the oven. Use a fork to mash the feta and burst the tomatoes, mixing them together to form a creamy sauce.
Add the drained pasta to the baking dish, tossing it with the feta-tomato mixture. If the sauce is too thick, add reserved pasta water a little at a time until you reach the desired consistency.
Stir in the minced garlic, mixing thoroughly.
Serve immediately, garnished with fresh basil leaves and a sprinkle of grated Parmesan cheese if desired.
Notes
Serve in bowls, drizzle a little extra olive oil on top, and add a basil sprig for a pop of color.