Tottenham have been linked with a move for Sampdoria defender Joachim Andersen.
Manchester United are also said to be keen on the 22-year-old, who has been tipped to move in January.
Meanwhile, Chelsea could agree a £70m deal to sign Borussia Dortmund midfielder Christian Pulisic in January, according to the Daily Telegraph.
The Daily Telegraph say Manchester United boss Jose Mourinho is interested in Marko Arnautovic but that he will not be making a bid for the West Ham forward in January.
The Guardian say West Ham are prepared to wait until the summer to discuss a new contract with Declan Rice, who has been linked with a number of clubs.
The Guardian also say West Ham are willing to listen to offers for Reece Oxford.
The Daily Star say Mesut Ozil’s future at Arsenal is in doubt as he faces the prospect of more time on the bench having been dropped against Bournemouth.
And Crystal Palace chairman Steve Parish has told The Times he believes Brexit will help Premier League clubs sign more non-EU players.