Trim fat from steaks. Cut each steak in half. In a large heavy skillet melt butter over medium-high heat. Add steaks; reduce heat to medium. Cook for 10 to 12 minutes for medium-rare (145 degree F) to medium (160 degree F) doneness, turning once. Transfer steaks to a serving platter, reserving drippings in skillet. Cover steaks; keep warm.
Stir green onions, thyme, salt, and pepper into reserved drippings in skillet. Cook for 1 to 2 minutes or until green onions are tender. Stir in tomato; heat through. Serve tomato mixture over steaks. Makes 4 servings.