Heat oven to 425° F. In a small bowl combine Greek seasoning and black pepper. Slightly rub the roast with olive oil. Roll roast in seasoning mixture to cover all surfaces.
Place roast on a rack in a shallow roasting pan. Insert an ovenproof meat thermometer so the tip is centered in the thickest part of the beef. Do not add water or cover.
Roast in the oven for 35-45 minutes or until desired internal temperature is reached. Remove from the oven. Transfer roast to carving board; tent loosely with aluminum foil. Allow the roast to rest for 15-20 minutes. Slice and serve.