Preheat grill to medium heat. Lightly coat the grill rack with oil. Place salmon, skin side down, on the grill rack, cover and cook for 8 minutes. Add pesto to top side, replace cover and cook for an additional 5 minutes. Remove from grill when salmon is cooked or flakes with a fork. Let rest 5 minutes before serving.
Preheat grill to medium heat. Lightly coat the grill rack with oil. Place salmon, skin side down, on the grill rack, cover and cook for 8 minutes. Add pesto to top side, replace cover and cook for an additional 5 minutes. Remove from grill when salmon is cooked or flakes with a fork. Let rest 5 minutes before serving.