Stir together butter, rosemary, 1 tsp. grated lemon rind, and salt and pepper to taste. Cover and chill until ready to serve.
Combine Italian seasoning and next 4 ingredients in a small bowl. Stir in remaining 1 tsp. lemon rind. Rub mixture over steaks. Cover and chill 1 hour.
Grill steaks, covered with grill lid, over medium-high heat (350° to 400°) 3 to 4 minutes on each side or to desired degree of doneness. Serve with butter.
If I was doing this, a marinade would be used as this type of beef can be tough.
Otherwise, it is OK