For a list of all the completed deals, check out the transfers page.
France midfielder Paul Pogba, 23, is set to complete his move to Manchester United for a world record £112m, with a Juventus source saying the deal is done. (Sun)
Or, United have offered £100m for Pogba and hope to finalise the deal within the next 48 hours. (Guardian)
Real Madrid have also been linked with Pogba - and coach Zinedine Zidane reckons "everybody" is interested in his compatriot, adding "anything can happen" before the transfer deadline. (Sky Sports)
Alternatively, the Champions League winners accept that they cannot compete for Pogba and are ready to turn their attention to signing Newcastle midfielder Moussa Sissoko with the Magpies wanting £30m for the 26-year-old. (Daily Telegraph)
Everton defender John Stones, 22, is set to join Manchester City for £50m - and the deal could be finalised this week. (Daily Mail)
If City fail to tie up a deal for Stones, manager Pep Guardiola has Juventus centre-back Leonardo Bonucci, 29, as a back-up option. (Daily Mirror)
Everton are already preparing for life without Stones and have earmarked Sunderland's Lamine Kone, 27, as a possible £14m replacement for their defence. (Sun)
Arsenal have spoken to the agent of Valencia's German defender Shkodran Mustafi, 24. (Emanuele Giulianelli on Twitter)
Manchester City centre-back Eliaquim Mangala, 25, could replace Mustafi at Valencia - if City sign Stones. (Sun)
Chelsea have bid £38m for Napoli's 25-year-old Senegal defender Kalidou Koulibaly. (Sky Italy)
Stoke remain interested in West Brom's 22-year-old striker Saido Berahino. (Talksport)
Liverpool could be beaten to the £20m signing of 22-year-old Benfica midfielder Anderson Talisca - by Championship side Wolves. (A Bola - in Portuguese)
Southampton are interested in signing Barcelona striker Cristian Tello, 24, for around £10m and Malaga midfielder Recio, 24 for £5m, (Sun)
Barcelona want 23-year-old Newcastle striker Ayoze Perez to serve as back-up to Lionel Messi, Neymar and Luis Suarez. (IBTimes)
Former Real Madrid and Tottenham midfielder Rafael van der Vaart, 33, has contacted fellow Dutchman Jaap Stam about a move to Reading. (Get Reading)
Leicester striker Leonardo Ulloa, 30, has told manager Claudio Ranieri he wants to leave the Premier League champions to join Swansea in a £10m deal. (Sun)
Swansea also want to sign Sevilla and Spain striker Fernando Llorente, 31, on loan. (IUSport - in Spanish)
However, the former Juventus player could be close to a move to Real Sociedad. (ESPN)
Leicester midfielder Andy King, 27, will sign a new contract to stay at the club until 2020. (ESPN)
New Sunderland manager David Moyes has turned down the chance to sign Aston Villa defender Micah Richards, 28, for £5m. (Northern Echo)
Brighton have made a £3.5m offer for Blackburn defender Shane Duffy, 24. (Daily Mirror)
Best of social media
Borussia Dortmund striker Pierre-Emerick Aubameyang wrote on Instagram that reports he told German television he would like a move to Real Madrid are false.
Stoke striker Bojan Krkic is happy team-mate Marko Arnautovic has signed a new deal.
Meanwhile, Manchester United and England defender Chris Smalling welcomed a new arrival.
Arsenal midfielder Aaron Ramsey took some time out of the busy pre-season schedule to take a trip to the farm.
Wayne Rooney is officially the fastest player at Manchester United - in a go kart. The England striker beat Marcus Rashford, Juan Mata and Anthony Martial in a race around the Old Trafford car park. (Manchester Evening News)