Grill this steak over a high heat for one minute per side, then move to a medium heat for five to six additional minutes per side (depending on your grill). This is the steak for the people who don't want color in their meat. Steak-Well Done. Internal Temperature - 71 to 100 degrees celcius.he meat should be soft to the touch, much like the raw meat, but browned over the surface. Cook this steak as hot as possible for a very short period of time, around one to two minutes per side for a one inch thick steak (depending on your grill). Steak-Medium Rare. Internal Temperature - 55 to 60 degrees celcius.