Create a marinade by combining the tamari, garlic, salt and pepper.
Place the venison filets in a dish and marinate for 10 to 15 minutes.
Grill venison filets for 3 to 4 minutes per side or until rare. Rest for 5 minutes then slice into thin pieces.
Place sliced venison in a large mixing bowl and add ginger, lime juice, green onions, white onions, and tomatoes. Mix well.
Serve on Lāna‘i Mix greens.