Preheat the oven to 375°F (190°C). Place the feta in the center of an oven-safe baking dish and arrange the cherry tomatoes around it.
Sprinkle the tomatoes with dried basil, oregano, and salt. Drizzle with 1 tablespoon of olive oil.
Bake for 40 minutes, until the tomatoes are soft and the feta is tender.
Meanwhile, cook the pasta in salted boiling water according to the package instructions until al dente. Reserve ½ cup (120 ml) of pasta water, then drain.
If desired, peel the tomato skins. Mash the roasted feta and tomatoes together with a fork to make a creamy sauce.
Add the cooked pasta and grated mozzarella. Toss until combined and the mozzarella begins to melt. Add a splash of reserved pasta water if needed.
Serve topped with grated Parmesan and fresh basil. Drizzle with the optional extra olive oil if desired.