Rinse the swordfish under cold water and pat dry with paper towels.
Brush the steaks with the Italian dressing. Season them with the pepper.
Preheat the grill for medium-high (350 to 400 degrees F.) direct grilling. Lightly oil the grill grates or spray them with cooking spray.
Place the steaks on the grill and cook for three minutes. Flip the steaks over and cook another two minutes or to an internal temperature of 145 degrees F.
Remove the steaks from the grill and sprinkle with Old Bay. Garnish with parsley.