Preheat your oven to broil and line a large, rimmed baking sheet with a piece of aluminum foil.
Arrange haddock filets on baking sheet and brush with a tablespoon of olive oil before sprinkling with the Parmesan cheese. Lightly season each filet with salt and black pepper, if desired.
Place in pre-heated oven and broil for 6-8 minutes or just until the fish is golden brown on top and flakes easily with a fork.Remove from oven and set aside.
While the fish broils, toss the tomatoes and basil with the remaining olive oil and season with salt and black pepper, as desired. Set aside.
Transfer fish to individual serving plates and top each filet with an equal portion of the tomato-basil mixture before serving. Enjoy!