Prepare the onion slices by cutting them into 1cm thick rounds. Set aside.

Mix the ground meat, chopped onion, egg, breadcrumbs, butter, salt, and pepper in a bowl. Form into patties.

Heat vegetable oil in a pan and cook the patties until browned on both sides and fully cooked through.

In the same pan, sauté the onion slices until golden brown and tender.

Fry the eggs sunny-side up in a separate pan.

Combine the ketchup, red wine, water, butter, Worcestershire sauce, salt, and pepper in a small saucepan. Heat until the sauce thickens slightly.

Assemble the plate: place rice on the bottom, top with a patty, sautéed onion, fried egg, and drizzle with ketchup sauce.