Preheat grill pan or indoor electric grill to medium high heat. Drizzle snapper with extra-virgin olive oil. Combine spices in a small bowl. Rub fish with spice mixture. Cook fish 5 minutes skin side down first. Turn fish and cook 5 to 6 minutes longer.
Combine salsa ingredients in a small bowl and allow it to marinate until ready to serve.
To serve, plate spiced snapper with a generous serving of salsa. Sangria makes a wonderful beverage for this meal.