West Ham have been left devoid of attacking threats early into the season, as injuries to Andy Carroll, Enner Valencia and Mauro Zarate have left Slaven Bilic desperate for a new striker.
Zaza, 24, hit 21 goals in his last two seasons for Sassuolo, and he has now established himself in the Italian national team after his fine displays in Serie A.
This summer, the striker joined Juventus, but is already down the pecking order, with Alvaro Morata, Fernando Llorente, Mario Mandzukic and Paulo Dybala all vying for roles in Massimiliano Allegri's attack.
A loan move may be an option for Zaza, and Sky Italia's Gianluca Di Marzio reports that the player's agent has now travelled to London for talks with West Ham over a move to Upton Park.
The report states that Zaza's agent is now considering the proposal from West Ham, with a decision expected soon as West Ham valiantly attempt to boost their attacking options.
Zaza is an all-round forward with height and strength as well as pace to trouble defences in behind, making him a very intriguing option for West Ham.
With little prospect of first team football at Juventus, Zaza could play regularly for West Ham - and reunite with Angelo Ogbonna at Upton Park.