Sprinkle fillets evenly with salt and pepper.
Heat olive oil and butter in a large skillet over medium heat; sauté fillets 2 to 3 minutes on each side or until fish flakes with a fork. Remove fish and drain on paper towels; keep warm.
Add Creole Tomato Sauce to skillet. Stir to incorporate any fish juices or browned bits remaining in the skillet. Serve snapper fillets with generous amount of sauce; top with slivered basil leaves.