Toulouse’s Martin Braithwaite is the latest striker to be linked with West Ham.
According to French outlet RMC Sport, the Hammers have had a bid for the Denmark international, 25, rejected.
Around £8.5m is said to have been offered for Braithwaite, who has been linked with a number of European clubs in recent months.
The Sun, on the other hand, say Hammers boss Slaven Bilic is looking to buy British players during the January transfer window because several of the club’s foreign signings have not worked out.
Sunderland’s former West Ham striker Jermain Defoe, who has been linked with a return to east London, is again touted as Bilic’s top target.
The Sun quote ‘a Hammers source’ as saying: “We are looking to buy British in the winter as we feel they are less of a gamble and don’t need time to adapt.
“We feel the team needs more British players. We had a desperately poor summer window and we need some new faces in.
“There is no appetite for the foreign market after what’s happened. It’s just not worth the club taking that risk this January.
“A lot of players need a season and we don’t have time for that. This cuts down the options we can go for, but we will try and achieve it wherever possible.”