In a pot over medium heat, combine water, beef base, onion and pepper corns. Bring to a boil, stirring until beef base is dissolved.
Add potatoes and cook until tender. Add green beans and cook until half-cooked. Add corned beef and cabbage. With back of spoon, break corned beef into desired pieces. Continue to cook until beef is heated through and vegetables are tender yet crisp. Season with salt and pepper to taste. Serve hot.