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Remove the steak from the marinade and season it with the salt and pepper. Discard the marinade.
Heat 1 tablespoon of the remaining olive oil in a large saute pan over medium-high heat. Place the steak in the pan and cook for 4 to 5 minutes per side over medium-high heat, for medium rare. Remove the steaks to a platter, tent with aluminum foil and let it rest for 5 minutes. Thinly slice the steak across the grain and serve it with the chimichurri sauce.
Transfer the sauce to a nonreactive bowl, cover it with plastic wrap, and set it aside for at least 2 hours and up to 6 hours at room temperature. The sauce will keep in an airtight nonreactive container in the refrigerator for up to 3 days.