Place tortillas on a sheet of heavy-duty foil (about 18 in. x 12 in.). Fold foil around tortillas and seal tightly; set aside.
Drizzle both sides of steaks with lime juice. Grill, covered, over medium-hot heat for 7-9 minutes on each side or until meat reaches desired doneness (for medium-rare, a meat thermometer should read 145°; medium, 160°; well-done, 170°).
Place tortillas on outer edge of grill; heat for 5-6 minutes, turning once. Sprinkle cheese over steaks; serve with salsa and warmed tortillas. Yield: 8 servings.