The Italy international is a target for both Arsenal and West Ham, with the latter believed to be leading the race for his signature.
Slaven Bilic has already signed Marseille's Dimitri Payet while also getting Aaron Cresswell to commit his future on a five-year deal, and wants Destro to join Diafra Sakho and Enner Valencia in attack next season.
Monaco are also said to be interested, and Italian media outlet Tuttomercatoweb claims that Destro will make a decision on his next move later this week.
The 24-year-old has spent the last six months on loan at AC Milan but failed to earn himself a permanent move as the Serie A giants pounced for Carlos Bacca and Luiz Adriano.
GETTY
Mattia Destro has been linked with a move to the Premier League
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