Player agent Manuel Garcìa Quilòn has admitted that Milan are hesitant about new contract talks.
The France international has recently been linked with Manchester United ahead of next season.
Calciomercato.com reports that the English giants are showing interest, but may face competition from Real Madrid.
Theo was at Real Madrid earlier in his career.
Both Manchester United and Real Madrid are also chasing fellow left-wing defender Alphonso Davies, 24, whose contract with Bayern Munich expires at the end of the season.
Milan rate Theo in the €50 million bracket.
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