Break eggs into a bowl, add water and beat until thoroughly combined. Place the filling and egg mixtures by stove. If water is used, add a dash of salt and pepper to the egg mixture. Omit salt if stock is used.
Heat a stick-resistant or non-stick skillet over medium low heat. Add 1-2 tablespoons of vegetable oil to the pan. I use a steel pan with a generous amount of oil to coat the bottom.
Using a large spoon (or Chinese soup spoon) spoon approximately 1.5 tablespoons of egg mixture into the pan to form a circle. Cook about 10 seconds, when the egg edge is set, place 2 teaspoons of filling on one side the egg. Using a spatula and fork, fold the other side of the egg over the filling and gently press down. Cook for 15 seconds and flip. Cook 30-45 seconds on the second side. If the filling seems soft and not quite done, continue to flip and cook. The dumplings should be a golden color. Adjust heat so the filling cooks through and the egg doesn't brown too much.
Transfer the dumpling to another pan set on low heat. This keeps the dumplings warm and ensures they cook through. Continue to cook additional dumplings.
Serve with ketchup or oyster sauce.
