Trim excess fat from the steak, leaving a 1/8-inch border of fat. Season both sides generously with salt and pepper. Rub with olive oil on both sides. Preheat a griddle or skillet until very hot, or prepare a hot charcoal fire in a grill, or preheat a gas grill. Cook the steak on both sides to desired doneness, about 4 minutes per side for medium-rare. Let it rest on a plate for 15 minutes while you prepare the rest of the dish. Grill the bread on both sides until golden. Spread one side of each slice with half of the Damn Hot Peppers. In a bowl, drizzle the arugula with olive oil. Add a few drops of red wine vinegar and season lightly with salt and pepper. Toss, taste, and adjust the seasoning. With a sharp knife, slice the steak thinly. Arrange overlapping steak slices on the prepared toasts. Drizzle the beef with any accumulated juices on the plate. Mound the arugula salad on the side. With a vegetable peeler, shave the Parmesan over the salad to taste. Serve immediately. |