For a list of all the completed deals, check out the transfers page.
England midfielder Adam Lallana, 28, has injured an ankle but should be fit to start the Euro 2016 last-16 tie against Iceland on Monday. Tottenham's Harry Kane, 22, and Liverpool's Daniel Sturridge, 26, are also due to be in the side. (Sunday Times - subscription required)
Manchester City boss Pep Guardiola believes he will sign Everton centre-back John Stones, but Chelsea and Manchester United are still interested in the 22-year-old. (Sun)
Chelsea and Spain midfielder Cesc Fabregas, 29, says the United Kingdom's decision to leave the European Union will hurt the Premier League. (Sunday Telegraph)
Arsenal boss Arsene Wenger is set to meet the representative of Lyon striker Alexandre Lacazette, but faces competition from Atletico Madrid and West Ham as he tries to sign the 25-year-old. (Sunday Mirror)
Premier League champions Leicester City have set aside £50m to try to keep the star players who led them to the title last season. (Star on Sunday)
Manchester United manager Jose Mourinho is frustrated the club have only signed 22-year-old defender Eric Bailly so far this summer. (Manchester Evening News)
United will have to break the world transfer record - currently £85.3m - to sign Juventus midfielder Paul Pogba, 23. (Sunday Telegraph)
Mourinho is confident a bid of £30m will be enough to sign Wolfsburg winger Julian Draxler, 22, as an alternative to Borussia Dortmund's Henrikh Mkhitaryan, 27. (Star on Sunday)
But United are closing in on the signings of Armenian attacking midfielder Mkhitaryan and Swedish striker Zlatan Ibrahimovic, 34. (Observer)
German midfielder Bastian Schweinsteiger, 31, could be on his way out of Old Trafford. (Manchester Evening News)
Brazil striker Neymar, 24, is set to sign a new four-year contract with Barcelona, which will include a £186m release clause. (Mundo Deportivo via Mail on Sunday)
Tottenham face competition from French club Paris St-Germain for the signature of AZ Alkmaar striker Vincent Janssen, 22. (L'Equipe - in French)
Spurs midfielder Eric Dier, 22, has impressed German giants Bayern Munich with his performances for England at Euro 2016. (Sunday People)
New Everton manager Ronald Koeman is keen to sign 26-year-old Manchester United midfielder Morgan Schneiderlin. (Sunday Mirror)
Stoke will complete the £16m signing of 22-year-old West Brom striker Saido Berahino this week. (Sunday People)
Leicester City have signed Rayo Vallecano's Raul Uche, 18, on a four-year deal, according to the young Spanish striker. (AS via Leicester Mercury)
Swansea are close to signing Ajax centre-back Mike van der Hoorn, 23, in a £2m deal. (Mail on Sunday)
Crystal Palace manager Alan Pardew is keen to be reunited with former Newcastle full-back Davide Santon, 25, with the Italian out of favour at Inter Milan. (La Gazzetta dello Sport)
Newcastle manager Rafael Benitez is set to make a £10m bid for Bournemouth midfielder Matt Ritchie, 26, as he fears he could lose 24-year-old winger Andros Townsend. (Sun)
The Magpies have also stepped up their interest in Crystal Palace's English forward Dwight Gayle, 26. who is valued at £10m. (Newcastle Chronicle)
Best of social media
Wales trio Gareth Bale, Aaron Ramsey and Dave Edwards all tweeted this picture following their win over Northern Ireland as they progressed to the Euro 2016 quarter-finals. Edwards also wrote: "The fairytale continues. What an amazing effort from the whole nation!"
Stoke keeper Jack Butland was ruled out of Euro 2016 because of injury, but he is on the mend. He tweeted: "Had my final scan and have been given the all clear by the surgeon. Now I can push on and be fully fit for pre-season."
Manchester City captain Vincent Kompany was ringside for Anthony Joshua's title fight against Dominic Breazeale. (Instagram)
Colombian singer Shakira cracked a joke after Switzerland's Shaqiri scored at Euro 2016. Her husband is Spain defender Gerard Pique, who scored earlier in the tournament.
A Colombian commentator unleashed a 37-second 'Gooooooooooool' after Carlos Bacca scored against the US in the Copa America third-place play-off. (Sports Illustrated)
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