On a rimmed sheet pan, toss together tomatoes, oil and ¼ tsp. salt, toast in center of oven for 25 minutes or until shriveled.
Meanwhile, combine pesto, cheese, ½ tsp salt and the pepper in large bowl.
Bring large pot of salted water to a boil. Add pasta; stir occasionally until water returns to a boil. Cook until al dente. Drain, reserving 1 cup of the pasta cooking water. Toss pasta with pesto mixture. Add half of reserved pasta cooking water and toss again. Add more water if necessary to loosen sauce, adding a little at a time. Stir in basil. Divide pasta among six bowls; spoon tomatoes over top. Serve with additional grated Parmesan.