New Everton manager Marco Silva wants to sign West Ham star Marko Arnautovic, The Sun on Sunday claim.
Manchester United have also been linked with the Austrian, who was a key player for the Hammers last season.
The Sun on Sunday say United are favourites to sign him but that Silva is keen to snap him up and has the backing of Everton football director Marcel Brands.
Meanwhile, West Ham continue to be linked with Jack Wilshere.
The Daily Star Sunday claim new Hammers boss Manuel Pellegrini is interested in signing the out-of-contract midfielder if Wilshere does not sign a new deal at Arsenal.
Javier Pastore may have to take a pay cut if he is to move to the London Stadium, The Observer say.
West Ham have been in talks with Paris St-Germain over a possible deal to sign the Argentine playmaker.
Crystal Palace are reportedly considering a move for West Bromwich Albion midfielder Jake Livermore.
The Sun on Sunday say Palace could make a £10m bid for the former Tottenham man, who has been tipped to leave Albion following their relegation from the Premier League.
It is claimed that Aston Villa wanted him but that their failure to win promotion has left Palace with a clear run.
And there continues to be speculation over Fulham’s Ryan Sessegnon.
Manchester United are ready to offer £50m for the teenager, again according to The Sun on Sunday.