Combine Bertolli Italian Glaze with Balsamic Vinegar of Modena, Bertolli Classico Olive Oil, fresh thyme, salt and pepper, in small bowl; set aside.
Brush fish with additional Bertolli Extra Light Tasting Olive Oil. Grill swordfish, turning once, until fish flakes with a fork, about 10 minutes. Drizzle vinegar mixture over fish and serve. Season, if desired, with salt and pepper.