Chop the cabbage finely. Mince the onion and microwave it in a heatproof container covered with plastic wrap for 1 minute at 600W. Let it cool.

In a bowl, mix ground meat, onion, beaten egg, salt, pepper, and breadcrumbs until sticky. Add the cabbage and mix well. Divide into two portions and shape into oval patties.

Heat salad oil in a frying pan over medium heat. Cook the patties until browned on one side, then flip, cover, and steam-cook for about 5 minutes until fully cooked. Place one slice of cheese on each patty, cover, and cook until the cheese melts.