MIX steak sauce, lime zest, juice, garlic, basil, mint and ginger. Place steak in nonmetal dish or resealable plastic bag. Add steak sauce mixture; turn steak to evenly coat both sides. Cover. Refrigerate 30 min. to marinate.
PREHEAT grill to medium-high heat. Remove steak from marinade; discard marinade.
GRILL steak 4 to 6 min. on each side or until cooked through.