French magazine Le 10 Sport claims Fulham and Crystal Palace have entered the race.
It is claimed that both Premier League clubs have made contact to register their interest in signing Dia and to gather information about the finances that would be needed to secure his services this January.
Dia also has interest from Russia, where Krasnodar are interested in signing him.
The striker has scored 12 occasions in France’s Ligue 1 for Reims this season with five coming from penalties.
Reims president Jean-Pierre Caillot has revealed he will not stand in the way of Hammers target Boulaye Dia if he chooses to leave the club in January but insists no formal bids have yet been received.
Eurosport say Reims want at least £15m for their star striker and Reims will hold out for offers at or above that amount.
The French league is in financial trouble after losing their TV deal and agent Mark McKay is the man Premier League ‘go to’ when they want to do a deal with a French club.
Like many transfer deals, they are often not as far as advanced as media reports would like to make them.
Fulham and Crystal Palace have joined West Ham in the hunt for Reims striker Boulaye Dia.
If we fancy him and think he is going to do a good job for us and of course moyes likes him …then for 15 million what’s the problem..if we are uming and arring over a fee like that ,I really dont hold out much hope..I cant believe Moyes said there is a possibility we wont sign any forward, that is just crazy ..we needed one with haller..but to have one forward is insane ..I really like Moyes but the bloke needs to sort his transfer policy out..