The 17 year-old is regarded highly across Europe and Fussball Transfers says Real Madrid and Ajax have made enquiries with Bayern for the youngster.
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However, Bayern have no interest in parting with Karl, who is seen as Michael Olise's backup for the new season.
The left-sided midfielder struck for Bayern in their preseason friendly win against Tottenham last week.
Bayern are now in talks with Karl about a new contract, with his current deal running to 2026.