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1
Combine soy sauce, red wine, juices, 2 tablespoons oil, scallions, garlic, white pepper, and cayenne in a 1-quart heavy-duty sealable plastic bag. Add steak and seal bag, pressing out air. Turn bag to coat steak, then marinate, chilled, turning bag occasionally, at least 4 hours.
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2
Transfer steak to a plate and pour 2 tablespoons marinade through a fine-mesh sieve into a 1-quart heavy saucepan, discarding remainder or reserving for another use (see cooks' note, below). Bring steak to room temperature, about 30 minutes.
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3
Heat remaining tablespoon oil in a 12-inch heavy skillet over moderately high heat until hot but not smoking, then cook steak, uncovered, until underside is browned, about 5 minutes. Turn steak over, then reduce heat to moderately low and cover skillet. Continue cooking until thermometer inserted horizontally 2 inches into center of steak registers 120u00b0F, 10 to 12 minutes. Transfer to a cutting board and let stand at least 15 minutes (internal temperature of steak will rise to 130-135u00b0F for medium-rare).
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4
While steak cooks and stands, bring marinade in saucepan to a boil, then pour into a bowl and cool completely. Whisk in mayonnaise until combined well and chill, covered, until ready to serve.
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5
Holding knife at a 45-degree angle, cut steak across the grain into very thin slices and transfer to a platter, then drizzle with any juices accumulated on cutting board. Serve at room temperature or slightly chilled, with mayonnaise.
