Mix ground chuck, evaporated milk, onion soup mix, bread crumbs, and 1 tablespoon Worcestershire sauce together in a bowl. Refrigerate for 1 hour. Form approximately 40 small meatballs and place on a baking sheet.
Set the oven rack about 6 inches from the heat source and preheat the oven's broiler.
Broil meatballs until just browned, 2 to 3 minutes. Turn meatballs over and continue broiling until browned on other side, about 2 minutes more.
Transfer meatballs to a slow cooker.
Combine ketchup, brown sugar, port wine, and 1 tablespoon Worcestershire sauce in a saucepan over medium heat. Cook and stir until dissolved, about 2 minutes. Pour over the meatballs in the slow cooker. Cook on High until meatballs are no longer pink in the middle and the sauce is thick, at least 1 hour.