Trim fat from steak. Place steak in a self-sealing plastic bag in a shallow dish.
For marinade, in a small bowl, stir together Italian salad dressing, salsa, lime peel, lime juice, cilantro or parsley, and hot pepper sauce. Pour over steak; seal bag. Marinate meat in the refrigerator for 8 to 24 hours, turning the bag occasionally. Drain steak, reserving marinade.
Place steak on the unheated rack of a broiler pan. Broil 3 to 4 minutes from heat until desired doneness, turning once and brushing occasionally with marinade up to the last 5 minutes of broiling. (Allow 12 to 14 minutes for medium doneness.)
Pour any remaining marinade into a small saucepan; bring to boiling. Boil 1 minute. Thinly slice steak across the grain. Serve the steak with hot marinade.
Servings: 6