Here is the latest speculation:
New Manchester City boss Pep Guardiola is set to seal the signing of Real Madrid and Germany midfielder Toni Kroos for Â£37.5m.
Jose Mourinho wants to further strengthen his Manchester United defence with the signing of Juventus centre-back Leonardo Bonucci.
Manchester United are concerned striker Marcus Rashford will suffer from burnout next season.
Sunderland boss Sam Allardyce is keen on a reunion with West Ham striker Diafra Sakho but is likely to face competition from West Brom.
Cesc Fabregas has emerged as a shock transfer target for Real Madrid, and could upset Barcelona fans by leaving Chelsea this summer for their chief rivals.
Liverpool defender Martin Skrtel will reject the chance to join Fenerbahce and instead move to Italy with Roma.
Arsenal right-back Mathieu Debuchy is set for a loan move to Turkish club Besiktas.
Newcastle are hoping to sign West Ham starlet Reece Oxford on loan.
Chelsea and Manchester United are working on a deal that would see defender Matteo Darmian and midfielder Nemanja Matic swap clubs.
Arsenal are planning to offer manager Arsene Wenger a three-year contract extension.
Everton will have to stump up Â£25m if they want Newcastle midfielder Georginio Wijnaldum.
Manchester United expect assistant boss Ryan Giggs to quit 'within days' and launch his own managerial career.
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Southampton have slapped a Â£40m price tag on forward Sadio Mane to stave off interest from Liverpool.
Liverpool are chasing Argentina full-back Gabriel Mercado, but the River Plate defender could struggle to get a work permit because of a lack of international caps.
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Leicester City are preparing a Â£10m bid for Burnley defender Michael Keane.
Chelsea and Arsenal face competition from Barcelona for the signature of Â£20m rated Lille striker Sofiane Boufal.
Leicester are closing in on a deal to sign Nice midfielder Nampalys Mendy after the club accepted a revised offer of around Â£10m.
Sheffield Wednesday are said to be interested in Millwall striker, Lee Gregory.
The 27-year-old partnered England’s Jamie Vardy up front when they played together for Halifax Town and last season netted 27 goals for the Lions and Championship clubs are now looking on with interest.
The Owls continue to be linked with Fulham’s former Leeds striker Ross McCormack but a Â£10m price tag for the 29-year-old Scotland international, who scored 23 times for his current club last season, may deter them.
Leeds United’s new head coach Garry Monk is set to sign Swedish striker Marcus Antonsson.
Reports suggest he will undergo a medical at Elland Road tomorrow.
The striker scored 13 goals in 18 appearances for top-flight Scandinavian club Kalmar and is said to have been the target of a Â£1.25m bid from the Whites.
Swedish website Fotbollskanalen claim Leeds’ pursuit of the player is almost complete and Kalmar president Mattias Rosenlund confirmed the club are in discussions with an unnamed team over a deal for Antonsson.
“We are in agreement with a club,” said Rosenlund. “He will undergo a medical on Monday to check that nothing interferes with the process.
Leeds midfielder Kalvin Phillips is set to sign a new three-year deal. The 20-year-old academy product made 10 appearances in the Championship last season.
Huddersfield Town could be set to sign a third defender from head coach David Wagner’s native Germany .
The 1860 Munich defender Christopher Schindler is the reported target should QPR return with a revised bid for Joel Lynch that meets Town’s valuation.
Schindler came through 1860 Munich’s youth system and playedfor the club’s second team before making a senior bow in 2010. The centre-back back has since made more than 150 appearances and played four times for germany Under-21s.
Middlesbrough’s hopes of bringing Lee Cattermole back to the club look set to be dashed.
Sunderland’s longest-serving first-team player has been the subject of speculation over a Â£5m move back to the Riverside, despite the midfield player having another five years to run on his contract.
The 28-year-old is a boyhood Boro fan and came through the ranks before joining Wigan in 2008 but manager Sam Allardyce is determined to retain his services.
Hull City remain linked with bringing Robbie Brady back to the club but they may look elsewhere because of Norwich’s asking price.
The Republic of Ireland international was sold by Hull to Norwich for Â£7m but the relegated Canaries now want Â£12m for the ex-Manchester United man.
Brady made 36 appearances for Norwich in the last Premier League campaign, scoring three goals.
Rotherham have missed out on former Celtic striker Anthony Stokes.
The 27-year-old, who played under new Millers chief Alan Stubbs at Hibernian last season, was wanted by a host of clubs and has signed a three-year deal with Blackburn Rovers.