Combine the butter and the mustard in a mixing bowl. Add the bread crumbs, parsley, chives, salt, and pepper, and combine to for a paste.
Heat the oil in a sauté pan and season the steaks with salt and pepper. Place the steaks in the pan and sauté over medium-high heat for 2 minutes on each side.
Transfer the steaks to a broiling pan and spread the crust on the top of each steak.
Place the pan on a rack in the upper part of the oven (but not on the very top rack) and broil for about 10 minutes for medium-rare, 12 minutes for medium, or to the desired doneness; do not turn the steaks over. The crust should be browned.