Turn the steaks over and continue to grill 3 to 5 minutes for medium-rare (an internal temperature of 135 degrees F), 5 to 7 minutes for medium (140 degrees F) or 8 to 10 minutes for medium-well (150 degrees F).bout 20 minutes before grilling, remove the steaks from the refrigerator and let sit, covered, at room temperature. Heat your grill to high. Brush the steaks on both sides with oil and season liberally with salt and pepper. Place the steaks on the grill and cook until golden brown and slightly charred, 4 to 5 minutes.