For a list of all the completed deals, check out the transfers page.
Manchester City have made a £53m bid for 22-year-old Everton and England centre-back John Stones. (Sun)
Juventus midfielder Paul Pogba, 23, who is a £100m target for Manchester United, is a "waste of money", according to France World Cup and European Championship winner Emmanuel Petit. (Daily Mirror)
Real Madrid boss Zinedine Zidane has given up hope of signing France international Pogba but will keep hold of 23-year-old Spain striker Alvaro Morata. (Independent)
Sunderland are considering appointing former Everton and Manchester United manager David Moyes if Sam Allardyce takes the England job. (Daily Telegraph)
Burnley boss Sean Dyche is also in Sunderland's sights after Allardyce had talks with the FA this week. (Daily Mail)
Turkish club Besiktas are planning a £25m bid for 30-year-old Manchester City captain Vincent Kompany. (Fanatik - in Turkish)
Arsenal's Chuba Akpom, 20, is set to be their only fit striker for the start of the Premier League season. (Independent)
Arsenal manager Arsene Wenger is chasing Wolfsburg midfielder Julian Draxler, 22, in a £55m move. (Daily Mirror)
The Gunners are ready to make a £42m offer for 25-year-old France and Lyon striker Alexandre Lacazette. (Daily Express)
Leicester City have offered midfielder N'Golo Kante, 25, a new £100,000-a-week contract, but he is keen to move to Chelsea. (Daily Mail)
England defender Luke Shaw, 21, is set to make his first appearance in 10 months in pre-season, after breaking his leg against PSV Eindhoven last September. (Guardian)
West Brom are ready to offer £17m for Juventus defender Mario Lemina, 22. (Sun)
New Blackburn manager Owen Coyle is determined to lose only one of in-demand central defensive pair Grant Hanley, 24, and Shane Duffy, 24. (Daily Express)
Tottenham are considering a move for Barcelona winger Cristian Tello, 24, after he rejected a move to Liverpool. (Daily Express)
Turkey midfielder Arda Turan, 29, is keen to stay at Barcelona despite interest from the Premier League, according to his agent. (Guardian)
Sheffield Wednesday and Hull City are targeting 25-year-old West Brom winger Callum McManaman. (Yorkshire Post)
Inter Milan captain and striker Mauro Icardi, 23, is being scouted by Tottenham and Arsenal, says his wife and agent. (Evening Standard)
Barcelona defender Thomas Vermaelen, 30, is a target for former club Arsenal, while West Ham are also interested. (Daily Star)
Turkish club Besiktas want 30-year-old Manchester City defender Aleksandar Kolarov. (Manchester Evening News)
New Watford manager Walter Mazzarri has ordered his players to stay together in a hotel during pre-season training to "bond". (Guardian)
Everton hope to beat Chelsea to the signing of 25-year-old Napoli defender Kalidou Koulibaly. (Gazzetta dello Sport - in Italian)
Bordeaux defender Lamine Sane, 29, could be on the verge of a move to Hull City. (Hull Daily Mail)
Peterborough United chairman Barry Fry, 71, has called Premier League clubs "pathetic" for turning down the chance to enter their academy teams into the Football League Trophy. (Peterborough Telegraph)
Best of social media
Spanish club Atletico Madrid announced a surprise new signing on Twitter - Jason Bourne, also known as Matt Damon.
There was confusion for Liverpool manager Jurgen Klopp before the pre-season game at Fleetwood, with the German under the impression he was going to a gig rather than a football match.
France midfielder Paul Pogba seems to have taken inspiration from Wales' Aaron Ramsey as he showed off his new hairstyle on Instagram.
Manchester United midfielder Juan Mata used emojis to respond to rumours that his time at Old Trafford will come to an end under new boss Jose Mourinho, who sold the Spaniard to United when he was in charge at Chelsea.
New Chelsea boss Antonio Conte was dishing out the orders as he took his first training session at Cobham.
New Aston Villa fitness coach Massimiliano Marchesi was filmed singing during a karaoke session on the pre-season tour of Austria.
Albania coach Gianni de Biasi wants to replace Roy Hodgson as England manager. His side beat eventual Euro 2016 winners Portugal in the qualifiers.(Sun)