The Hammers have already made one summer signing, with midfielder Pedro Obiang arriving from Sampdoria last week, just a day after Slaven Bilic's appointment as manager.
Now, the Croatian boss appears to be taking steps to improve his squad even further, with Genoa winger Perotti on his radar according to the Daily Mail.
Having struggled with form and injuries during his time with Sevilla, Perotti - who has two international caps to his name - has rebuilt his career in Italy, scoring four goals in his debut season at Genoa.
Now though, there is Premier League interest in Perotti - and having seen Obiang move to East London, Perotti could follow him from Italy if West Ham firm up their 'strong interest' in signing him.
Change in tactic?
Under previous boss Sam Allardyce, West Ham played a 4-3-1-2 system last season, with Stewart Downing operating behind two strikers.
Now though, Bilic arrives having used a 4-2-3-1 at Besiktas, utilising two wingers. West Ham don't have great quality options out wide, and the interest in Perotti suggests that Bilic is looking to rectify that problem this summer ahead of a possible change in tactic.
Watford appear to have made the first move for Perotti, but the player's preference of a move to Upton Park plays right into West Ham's hands.