In a bowl, mix the olive oil, Worcestershire sauce, garlic, steak seasoning, red wine vinegar, basil, and Italian seasoning.
Pour into a large resealable plastic bag. Pierce steaks on all sides with a fork, and place in the bag. Gently shake to coat. Seal bag and marinate steaks a minimum of 2 hours in the refrigerator.
Preheat grill for high heat.
Lightly oil the grill grate. Discard marinade.
Place steaks on the grill, and cook 7 minutes on each side, or to desired doneness.