The Sunday People say Arsenal are prepared to sell Kieran Gibbs for £8m and that Newcastle are keen to sign the left-back.
It follows reports that Watford want Gibbs but had been told they would have to pay around £15m.
Newcastle boss Rafael Benitez is said to be keen to take Gibbs to St James’ Park this summer.
Arsenal are preparing a £125m bid for Monaco forward Kylian Mbapp, the Sunday Mirror claim.
Everton are planning a £20m bid for Arsenal’s Olivier Giroud, according to the Sun on Sunday. The Frenchman has also been linked with West Ham.
Manchester City want to sign Alexis Sanchez but Arsenal are refusing to sell him to a Premier League rival, the Mail on Sunday reports.
Meanwhile, West Ham are ready to make a £15m move for Andre Gray, the Sunday Mirror say.
The former Brentford striker has a year remaining on his contract at Burnley and is reportedly looking for a big pay rise in order to sign a new deal at Turf Moor.
He is among a host of strikers West Ham have been linked with in recent months.
Another is Bayer Leverkusen’s former Manchester United man Javier Hernandez.
The Sunday People claim the Hammers are ready to meet a £13m release clause in Hernandez’s contract – which has a year left to run.
The Mexican is reported to be keen to return to the Premier League.
The Sunday Mirror say Antonio Rudiger, who has been linked with a move to Chelsea, is wanted by Manchester City.
And Spanish newspaper AS say Chelsea striker Diego Costa is set to rejoin Atletico Madrid even though he would not be able to play for them until January because of their transfer ban.
There has been speculation that he could make a loan move until January, but AS say that will not be the case and that Costa is keen to return to his former club as soon as possible.