Wash the meat and dab dry. Peel onion and cut into rings. Heat the oil in a pan and fry the meat in it on each side first at high heat for about 1 minute.
Then fry over medium heat for another 2-4 minutes on each side. Add the onions and fry. Season meat with salt and steak pepper. Take out steaks and onions and keep warm.
In the meantime, peel and finely chop the shallots and sauté them in the cooking fat. Deglaze with stock and red wine and bring to the boil. Add sauce thickener while stirring and bring to the boil. Season to taste with Madeira, salt and pepper.
Arrange meat, onions and sauce on plates and serve garnished with lamb's lettuce and radishes as desired. Parsley potatoes taste good with it.