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Boil wine, chicken broth and beef broth in heavy
large saucepan over
high heat until mixture is reduced to 2 cups, about
1 hour. (Can be
prepared 1 day ahead. Cover and refrigerate.)
Mix butter and flour in small bowl. Heat 1 tablespoon
olive oil in
heavy large skillet over medium-high heat. Sprinkle
steaks with salt
and cracked pepper. Saute steaks until medium-rare,
about 4 minutes
per side. Transfer to plate. Add shallots, garlic
and thyme to
skillet; stir 30 seconds. Add 1 1/2 cups reduced
wine mixture to
skillet (reserve remainder for another use). Bring
mixture to boil,
scraping up any browned bits. Add butter mixture
and whisk until
smooth. Boil sauce until thick enough to coat spoon,
about 2 minutes.
Serve steaks with sauce.