The new Premier League season is well underway, but transfer stories continue to dominate the headlines.

Below, Sports Mole has rounded up all the latest speculation.

Tuesday morning's headlines:

Everton 'to reject £30m John Stones offer'
Everton are reportedly ready to reject a new offer for John Stones from Chelsea Read more.

Real Madrid 'make final David de Gea bid'
Real Madrid reportedly make a take-it-or-leave-it offer for Manchester United's David de Gea. Read more.

Kevin De Bruyne to seek Wolfsburg exit?
Kevin de Bruyne will reportedly tell Wolfsburg that he wants to leave the club to join Manchester City. Read more.

Jasper Cillessen waves away claims he has agreed to join Manchester United
Ajax goalkeeper Jasper Cillessen dismisses the suggestion that he has an agreement in place to join Manchester United. Read more.

Chelsea agree fee for Augsburg's Baba Rahman?
Ghanaian left-back Baba Rahman will undergo a medical at Chelsea later this week ahead of completing a switch from Augsburg. Read more.

Report: Stoke City on verge of tying up Xherdan Shaqiri deal
Xherdan Shaqiri will officially become a Stoke City player today for a fee of £12m from Inter Milan, according to reports. Read more.

Report: West Ham United line up Javier Hernandez offer
Manchester United striker Javier Hernandez is reportedly a £12m target for West Ham United. Read more.

Tottenham Hotspur step up interest in Javier Hernandez and Saido Berahino
Tottenham Hotspur step up their interest in Javier Hernandez and Saido Berahino, according to a report. Read more.

Report: Liverpool close in on Taiwo Awoniyi
Liverpool are closing in on 17-year-old striker Taiwo Awoniyi, according to reports. Read more.

Report: Liverpool ready to let Lucas Leiva go
Liverpool are ready to let long-serving midfielder Lucas Leiva and will listen to any offers for him, according to reports. Read more.

David Nugent 'nears £4m Middlesbrough switch'
David Nugent nears a move to Middlesbrough as Leicester City reportedly accept a £4m bid for the striker. Read more.

Report: Manchester United eyeing Brazilian wonderkid Lincoln
Brazilian teenager Lincoln is a reported target for Manchester United. Read more.

Report: Tottenham Hotspur leading £10m Breel Embolo chase
Tottenham Hotspur reportedly lead the chase for teenager Basel striker Breel Embolo. Read more.

Report: Burnley bid for Henri Lansbury accepted by Nottingham Forest
Nottingham Forest have accepted a £4m bid from Burnley for midfielder Henri Lansbury, according to reports. Read more.

Jose Castro: 'Sevilla's transfer business is ongoing'
Sevilla president Jose Castro hints that his club could still be active in the final few weeks of the transfer window. Read more.

Sam Johnstone unsure about Preston North End loan
Sam Johnstone reveals that he is unsure whether he will leave Manchester United on loan this season. Read more.