The 26-year-old joined the Gunners in 2022 from Porto, and spent last season on loan at Hamburg.
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It is believed Vieira wants to make it a permanent move, per Sky Sports.
There have been discussions between the two sides in the hopes to strike a deal.
The Portuguese has one year left on his contract in North London.
Vieira has joined up with his current Arsenal teammates for pre-season training while he waits to make his exit from the Emirates this summer.