West Ham want Montpellier forward Steve Mounie, the Daily Mirror say.
Watford and West Brom also reportedly want the 22-year-old Benin international, who has scored 14 goals this season and is apparently rated at £13m.
He is one of a host of strikers West Ham have been linked with ahead of the summer transfer window.
Meanwhile, Adam Smith has ruled out a return to Tottenham from Bournemouth, again according to the Mirror.
It comes amid speculation that Smith, who left Spurs to join the Cherries three years ago, could be signed as a replacement for Kyle Walker.
Smith made one first-team appearance for Tottenham and has impressed for Bournemouth in the top flight.
“Transfer talk is part of football and speculation builds at the end of every season,” he said.
“It is always nice to be talked about in a positive way, because it means you are doing something right. I would rather that than be getting bad press.
“But I am a Bournemouth player and planning to have a nice holiday and then come back here next season.
“To finish where we did last season was a great achievement for the lads, the staff and the whole club. Hopefully we can stay together and try and have an even better season.”
Tottenham are among Premier League clubs interested in Bolton Wanderers youngster Max Broughton, the Mail say.
And Chelsea have again been linked with Juventus defender Leonardo Bonucci, this time by the Daily Express.
The centre-back previously played under Blues boss Antonio Conte for Juventus and Italy and has been linked with a move to Stamford Bridge during the last two transfer windows.
The Express say Chelsea are interested in signing him and a confident of a deal. Manchester City are also said to be keen.