Andrea Belotti is set to make a decision over his future in the next few weeks amid links with the Irons.
The Torino striker’s contract is expiring this summer and he has been linked with an exit from the Italian club as a result.
The Hammers have been touted with an interest in snapping up the forward, who has been with Torino since 2015.
Napoli, Roma, Fiorentina and Atalanta are all interested in keeping him in Italy, while there is also said to be interest from Atletico Madrid.
There remains the possibility of Belotti signing a new contract at Torino but he is set to make his decision in the next few days.
This season, he has scored five goals in 18 Serie A appearances.