For a list of all the completed deals, check out the transfers page.
Manchester City goalkeeper Joe Hart, 29, has been told he can leave if manager Pep Guardiola signs a replacement. Everton are keen on the England international. (Daily Mirror)
Barcelona goalkeeper Claudio Bravo, 33, has agreed terms with City, casting further doubt over Hart's future. (Mundo Deportivo - in Spanish)
Arsenal target Alexandre Lacazette, 25, says he might leave Lyon this summer. The Premier League side have had a £29m bid rejected for the France international. (Canal+ via Metro)
Manchester United could move for Southampton defender Jose Fonte, 32. (Manchester Evening News)
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Crystal Palace are ready to bid for West Ham striker Andy Carroll, 27, if they fail to sign Liverpool forward Christian Benteke, 25. (Daily Express)
West Brom are also interested in Benteke, but Liverpool will not accept anything less than £32.5m for the Belgian. (Sky Sports)
Winger Yannick Bolasie, 27, and midfielder Mile Jedinak, 32, are set to leave Crystal Palace. (Daily Mirror)
Everton expect to announce the £25m signing of Bolasie and manager Ronald Koeman is ready to press ahead with further signings. (Daily Express)
Manchester United manager Jose Mourinho said midfielder Juan Mata, 28, had a future at the club after scoring in their Premier League opener against Bournemouth.(Sky Sports)
Liverpool could sign 17-year-old Real Madrid midfielder Martin Odegaard but West Ham are also interested in the Norwegian. (Ouest France - in French)
Former Juventus midfielder Andrea Pirlo, who now plays for New York City, says the Italian club are "still laughing" about signing Paul Pogba, 23, from Manchester United for £1.5m in 2012. The France midfielder has rejoined the Red Devils for £89m. (Daily Telegraph)
Everton have had an £8.6m offer for Lyon winger Rachid Ghezzal turned down, and the 24-year-old is keen to stay in France. (Goal)
Tottenham are considering a £13m bid for Sporting Lisbon midfielder Adrien Silva, 27, should Dane Christian Eriksen, 24, leave. (Daily Star)
But Eriksen played down reports of his unrest by writing on social media: "Don't believe what you read." (Independent)
Watford are interested in 22-year-old Juventus midfielder Mario Lemina, who Arsenal have bid £14m for. (Calciomercato - in Italian)
West Brom manager Tony Pulis is worried his team is 'stagnating' and wants to invest in new players quickly. (Guardian)
Chelsea continue to be interested in Napoli defender Kalidou Koulibaly, 25. (Gazzetta World)
Blues boss Antonio Conte says Diego Costa is staying at Chelsea and wants the 29-year-old striker to continue with his aggressive style of play. (Daily Mail)
Newcastle will send midfielder Henri Saivet, 25, on loan to St Etienne. (Newcastle Chronicle)
The Magpies are considering a bid for Sheffield Wednesday striker Fernando Forestieri, 26. The Italian refused to travel to Wednesday's Championship game against Norwich. (Yorkshire Post)
Hull defender Curtis Davies has called on the club's owners to appoint a full-time manager to start a recruitment drive as quickly as possible and backed caretaker boss Mike Phelan for the role. (The Times - subscription required)
Manager Slaven Bilic says West Ham were too slow with their bid for striker Michy Batshuayi in the summer. (Daily Star)
Former England captain Alan Shearer says Pep Guardiola needs to tell Joe Hart if he is not part of his plans so the England goalkeeper can move on. (The Sun)
Best of social media
Antonio Valencia dedicated Manchester United's 3-1 win over Bournemouth on Sunday to team-mate Ander Herrera, who was celebrating his 27th birthday. He tweeted: "Happy Birthday brother. I wish the best for you. These 3 points are for you and for all fans."
Red Devils goalkeeper David de Gea snapped a quick selfie with the birthday boy as they celebrated their victory.
Swansea City defender Jordi Amat was pleased to bump into former team-mate Ashley Williams, who has signed for Everton.
Liverpool goalkeeper Loris Karius, who joined the club in May, watched their first game of the season from the sofa as he recovers from a broken hand.
Arsenal goalkeeper Petr Cech's day went from bad to worse as he crashed his car outside Emirates Stadium after conceding four goals in the Gunners' loss to Liverpool. (Daily Telegraph)