Preheat the oven to 400°F (200°C).
Place the cherry tomatoes in an oven-safe baking dish. Drizzle with half of the olive oil, season with salt, pepper, and oregano, and toss to coat.
Make a space in the center of the dish and place the block of feta cheese. Drizzle the remaining olive oil over the feta and sprinkle additional seasoning if desired.
Scatter the garlic cloves around the tomatoes.
Bake uncovered for 30 to 35 minutes until the feta is soft and the tomatoes are bursting.
While the tomatoes and feta bake, cook the pasta according to the package instructions. Drain and set aside.
Once baked, sprinkle chopped basil over the tomato and feta mixture. Mash everything together with a spoon to form a creamy sauce.
Add the cooked pasta directly into the baking dish and toss well until the pasta is fully coated in the creamy feta-tomato sauce.
Garnish with additional fresh basil before serving, if desired.