Mix tomatoes, Brie cheese, basil, garlic, 1 cup olive oil, 1/2 tsp. salt and 1/2 tsp.pepper in a large serving bowl. Let stand, covered, at room temperature for at least 1 hours.
Bring water to a boil in large stockpot. Add linguini, 1 Tbsp. olive oil and the remaining 2 tsp. salt. Cook for 8 to 10 minutes, and drain. Add pasta, pepper to taste and Parmesan cheese to the tomato mixture and toss to mix. Serves 4