The Turkish transfer window doesn't shut until September 12.
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Besiktas have offered €25m for the Belgium international, who was handed a pay-rise by the Gunners this summer, reports Sozcu Spor.
Trossard's deal still runs to 2027, but he was granted a healthy pay-hike.
For the moment, Arsenal are yet to respond to Besiktas with their offer still on the table.
