Step 1: Season the beef medallions on both sides with the salt and pepper.
Step 2: Melt the butter in a large skillet over medium-high heat. Add the meat and cook for 45 seconds on the first side. Turn and cook for 30 seconds on the second side.
Step 3: Add the shallots and garlic to the side of the pan and cook, stirring, for 20 seconds. Add the mushrooms and cook, stirring, until soft, 2 minutes. Place the meat on a plate and cover to keep warm.
Step 4: Tilt the pan towards you and add the brandy. Tip the pan away from yourself and ignite the brandy with a match. (Alternatively, remove the pan from the heat to ignite, and then return to the heat.)
Step 5: When the flame has burned out, add the mustard and cream, mix thoroughly and cook, stirring, for 1 minute. Add the veal stock and simmer for 1 minute. Add the Worcestershire and hot sauce and stir to combine.
Step 6: Return the meat and any accumulated juices to the pan and turn the meat to coat with the sauce.
Step 7: Remove from the heat and stir in the green onions and parsley. Divide the medallions and sauce between 2 large plates and serve immediately.
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