In a roasting pan, heat meat drippings over medium-high heat. Add carrot, celery and onion; cook and stir until vegetables are lightly browned and tender, 3-5 minutes, scraping brown bits from bottom of roasting pan. Add wine; simmer until reduced slightly, 3-5 minutes.
Add beef stock; simmer until reduced by about half and slightly thickened, 8-12 minutes. Strain through a fine sieve. Season with salt and pepper. Serve with prime rib or other cooked beef.