For a list of all the completed deals, check out the transfers page.
England striker Harry Kane, 22, will agree a new £5m-a-year contract with Tottenham this week. (Sun)
Manchester United manager Jose Mourinho is confident of persuading Juventus midfielder Paul Pogba, 23, to move back to Old Trafford. (Daily Mail)
United are prepared to break the world transfer record to sign Pogba, and could bid as much as £100m for the France international. (Daily Telegraph)
Paris St-Germain midfielder Blaise Matuidi, 29, has been given permission to leave France's Euro 2016 base for talks with United. (Goal - in French)
Everton believe they will edge out Stoke City and Napoli for the signing of 27-year-old Belgium and Zenit St Petersburg midfielder Axel Witsel. (Daily Mirror)
Manchester City are close to completing another signing, thought to be a £40m deal for Schalke's Germany winger Leroy Sane, 20. (Manchester Evening News)
Tottenham are set to complete the £16m signing of AZ Alkmaar's 22-year-old striker Vincent Janssen this week, and are also keen on 20-year-old Roma striker Antonio Sanabria, and River Plate frontman Lucas Alario, 23. (Daily Mirror)
Arsenal are ready to offer Real Madrid's Spain forward Alvaro Morata, 23, a contract worth £144,000 a week to move to Emirates Stadium. (Don Balon - in Spanish)
Crystal Palace have made an improved, club-record £31.5m bid for Liverpool striker Christian Benteke, having had a £25m offer for the 25-year-old Belgium international rejected by the Reds. (Sun)
Palace are close to finalising a £12m move for West Ham defender James Tomkins, 27. (Evening Standard)
Everton are considering a move for Leicester City goalkeeper Kasper Schmeichel, 29, who is thought to have a £17m release clause. (Liverpool Echo)
Toffees manager Ronald Koeman also wants Southampton and Italy striker Graziano Pelle, 30. (Daily Express)
However, China's Shanghai Greenland are said to be preparing a lucrative offer for Pelle to thwart Everton and Chelsea. (Daily Star)
Liverpool midfielder Lucas Leiva, 29, is open to a move to Turkish side Besiktas this summer. (Fanatik - in Turkish)
Fenerbahce want Newcastle forward Siem de Jong, 27. (Haberturk - in Turkish)
West Ham and Crystal Palace are among the Premier League clubs to have been offered 32-year-old former Manchester United and Arsenal striker Robin van Persie by Fenerbahce. (Daily Mail)
Former Aston Villa forward Charles N'Zogbia, 29, is training with Sunderland. (Birmingham Mail)
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