Cufre was an unused substitute against Germany
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Fifa has banned two Argentina players for their part in the brawl following their quarter-final defeat by Germany on penalties.
Substitute Leandro Cufre was given a four-match ban and fined £4,800 for kicking Germany defender Per Mertesacker in the groin.
Maxi Rodriguez was banned for two games and fined £2,400 for throwing punches.
Germany's Torsten Frings was banned for the semi-final defeat to Italy due to his involvement in the same incident.