Pat the steaks dry with a paper towel. Season generously on both sides with the salt and black pepper.
Add the olive oil and 1 tablespoon of butter to a nonstick or stainless steel pan over medium-high heat. Sear the steaks, one at a time, until a golden brown crust forms, about 5 minutes per side. If the pan gets too dry, add a bit more olive oil. Transfer the seared steaks to a cutting board to rest.
Add the shallots, capers, and remaining ½ tablespoon of butter to the pan. Cook for 2-3 minutes, or until the capers crisp slightly.
Deglaze the pan with the wine. Cook until reduced by half, about 30-60 seconds. Add the mustard and cream and adjust seasoning to taste.
Slice the steak into ¼-inch (6 mm) pieces and transfer to serving plates. Pour the sauce over the steak and garnish with sliced chives. Serve with roasted potatoes and a side salad.
Enjoy!
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