Voetbalzone says the Cherries accept they face lose the Hungary international in 2025.
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And Bournemouth would consider selling at a starting price of €20m.
Both the Reds and United are in the market for a new left-sided wing-back and Kerkez is high on the agenda.
Kerkez joined Bournemouth from AZ, where he initially was snapped up from AC Milan.
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