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The 25-year-old, who has been one of the stars of the 2010 World Cup, did not rule out a transfer out of Allianz Arena amid the strong interest.
I’m wanted by Chelsea, Real Madrid and Juventus," Schweinsteiger told German newspaper Bild.
"There is also interest from another two clubs. I do have a contract with Bayern Munich until 2012 that the club wants to respect.
"A transfer is not out of the question, absolutely not, but I don’t want to talk about it too much.
"I really cannot say I am married to Bayern, though."