Szczesny found himself dropped from first-team proceedings in the last campaign for disciplinary reasons, allowing David Ospina to stake his claim as Arsene Wenger's new No.1.
Roma are also apparently keen to sign the Poland international on a long-term deal, and Italian media outlet Tuttomercatoweb claims the club have told Szczesny they intend to keep hold of him at the end of next season.
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Wojciech Szczesny is set to become a Roma player
Rudi Garcia's side are also in talks with Chelsea over a loan move for Mohamed Salah.
However, Roma are currently involved in a legal battle with Fiorentina over the Egyptian, who claim he has reneged on an agreement to rejoin them for the upcoming campaign.
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