Salt and black pepper Combine all the basting sauce ingredients and soak the venison slices in the sauce for at least 24 hours. Pour off and reserve the sauce. Put the meat on a board and pat it dry, then nick the edges of the slices and rub them all over with the fat. Heat the grill to medium-high and grill the steaks until medium-rare. Baste the meat with the reserved basting sauce while cooking and turn it once. When done, transfer the slices to a warmed serving platter, and serve at once, with the remaining sauce in a sauce boat.