1. In shallow glass dish, combine sesame oil, soy sauce, ginger, and vinegar. Add salmon; turn to coat. Marinate, refrigerated, for 30 minutes to 1 hour, turning occasionally.
2. Preheat grill (medium-high heat); lightly oil grill. Place fillets on grill, skin-side up. Grill about 5 minutes per side. Fish is cooked when a thin knife blade inserted in center reveals that the pink flesh is almost opaque. Serve warm.