In a shallow dish, add olive oil, garlic, parsley and black pepper. Mix well.
Place steaks in dish and turn to coat.
Place, covered, in the refrigerator, to marinate overnight.
Remove steaks from marinade, allowing excess to drip off.
Season steaks with salt and pepper.
Preheat a grill or grill pan over medium-high heat and lightly oil the grate.
Place on hot grill and Grill, turning once, to desired doneness (see chart below).
Cover asparagus in vinaigrette.
Roll on grill and season with salt and pepper.
Cook until done, but be careful not to burn the asparagus tips.
Transfer to a cutting board and let stand 10 minutes. Slice meat against the grain.
Serve steaks hot with 4 asparagus tips each.