"(Varane) has been diagnosed with a muscle injury to the adductor longus in his right leg," said Madrid in a statement Tuesday.
Spanish media reports suggested the French defender will be sidelined until late November, leaving interim coach Santiago Solari short of options in central defence.
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Solari was appointed on Monday after Julen Lopetegui was sacked following a dismal start to the season, with Madrid languishing ninth in La Liga.
Striker Mariano Diaz is also set to miss 10 days with a hamstring injury.
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