Note: Two categories of nectarines are clingstone and freestone, which are not always available at the same time of year. A clingstone is so named because the stone of the fruit tightly clings to the flesh. It was the type used in the photos above. A freestone nectarine has a stone that easily separates from the flesh, hence its name. When grilling that type of nectarine, simply cut all the way around the stone, following the natural seam of the fruit. Now twist the fruit and one half of it will easily come away from the stone. Pull the stone off the other half nectarine and it's ready for grilling.