The Hammers have reportedly held talks with the defender who is valued around £15m to the Greek side Olympiacos.
Heavy investment has been made in Kurt Zouma and the rewards were there for anyone to see last season, with the experienced French defender leading the line during key games.
There is also strong interest in defender Pape Abou Cisse from Championship side Watford, and Brighton Hove and Albion are also said to be vigorously looking at the details that could bring him to England.
Last January, Newcastle United made an attempt to sign him but Olympiacos held firm and resisted the temptation to cash in on him.
Cisse has had spells in France with Saint-Etienne and Ajaccio but moved to Olympiacos in 2017 where has been by far the best performing defender in Greece.
In total, he has played 132 times for the 47-time Greek league champions, scoring 16 goals.
Check out the latest Premier League transfer speculation below...
5. Leeds keen on Traore
Leeds United are the “most determined” to sign Sassuolo midfielder Hamed Junior Traore and have already made an attempt to sign him. He could be available for around £21.5m. (Gazzetta dello Sport) | Getty Images
6. Albion eye Simon
Brighton ‘strongly appreciate’ FC Nantes winger Moses Simon, who could be sold for around £12.8m. (But! Football Club) | AFP via Getty Images
7. West Ham plot double swoop
West Ham have made contact with Sassuolo over a double deal for Giacomo Raspadori and Gianluca Scamacca. (90min) | Getty Images
8. Spurs turn attention to Raphinha
Tottenham have ended their interest in Gabriel Jesus, instead switching their attention to Leeds United winger Raphinha and Everton forward Richarlison. (Evening Standard) | Getty Images