West Ham lodged a bid for Wilson and Matt Ritchie earlier in the transfer window, but Bournemouth rejected their offer.
The Hammers have since looked elsewhere for targets, with Alexandre Lacazette appearing to be at the top of their wishlist.
However, the Star has suggested that West Ham could return for Wilson later on in the transfer window.
The former Coventry City striker enjoyed a wonderful start to his first season in the top tier, before picking up a serious injury.
Wilson found the net five times in his first seven Premier League appearances, before damaging his cruciate ligament and missing much of the rest of the campaign.
Wilson scored a hattrick against West Ham last term, which may have alerted Bilic to the striker’s talents.
The 24-year-old is unlikely to come cheap, if West Ham do want to sign him, but Bilic does have money to spend this summer.
West Ham have already been active in the transfer window, signing both Sofiane Feghouli and Håvard Nordtveit.