Real have not said for how long the Argentine will be absent but he is expected to be out for at least a month, Xinhua reported.
Di Maria, who had set up Real Madrid's first three goals of the game with passes for Cristiano Ronaldo, Pepe and a pass for Gonzalo Higuain, suffered the injury as he sprinted and stretched to keep the ball in play three minutes into the second half.
He immediately went down on the pitch and had to be carried out of the ground on a stretcher. A torn muscle could sideline him for between 4-6 weeks, it is feared.
Argentina's two World Cup qualifiers are against Bolivia Friday and Colombia Nov 15.
(Published 08 November 2011, 08:32 IST)
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