The Bavarian side have twice attempted to move for the France international forward but squad planner Michael Reschke used his veto to prevent a deal from taking place.
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Given that Reschke is now at Stuttgart, the path appears clear for the Allianz Arena side to broker a deal for a player who has recently been linked with Barcelona and Manchester United.
Sky Sport reported that Bayern are interested in activating the attacker’s €100 million release clause next summer and Salihamidzic has not dismissed the prospect.
Asked if the club have decided to move for Griezmann a third time, the former Germany international midfielder told Sky Sport: “Not yet. We have lots of time to think about that.”