Per serving
Elegant sauce for a special steak. Great for company or a romantic dinner for two. You can even make part of the sauce in advance. Great with bread for sopping and a nice salad. And wine, of course! Adapted from Bon Appetit.
Boil wine along with chicken and beef broths in heavy large saucepan over high heat until it's reduced to 2 cups (~45min to 1 hour).
NOTE: You can be prepare it to this point in advance, and cover and refrigerate.
Mix butter and flour in small bowl.
Heat 1 T olive oil in heavy large skillet over medium-high heat.
Season steaks with salt and pepper and sauté to your taste (4 minutes per side would result in medium rare steaks).
Remove steaks to a plate and keep warm (we put it in our microwave to keep the heat from dissipating) To your skillet, add shallots, garlic and thyme and stir 30 seconds.
Add 1 1/2 c reduced wine mixture to skillet (reserve remainder for another use).
Bring mixture to a boil and scrape up brown bits.
Whisk in butter mixture until the sauce is smooth.
Boil sauce until thick enough to coat spoon, about 2 minutes.
Drizzle sauce over steaks, and serve remainder in a gravy boat.
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