In a shallow nonreactive dish just large enough to hold the lamb flat, stir together wine, oil, chopped oregano, garlic, 1 tsp salt, and .75 tsp pepper.
Add the lamb and turn to coat both sides. Cover and refrigerate for 4 to 24 hours, turning occasionally. Remove one hour before grilling.
Grill over the hottest part of the fire, turning once and brushing often with marinade during the first 12 minutes of cooking. Cook 9-10 minutes per side to a temp of 130F.