For a list of all the completed deals, check out the transfers page.
Premier League champions Leicester want to sign Arsenal midfielder Alex Oxlade-Chamberlain, 22, while the Gunners could move for Southampton striker Sadio Mane, 24.(Mirror)
Liverpool hope to secure Bayern Munich's Germany international midfielder Mario Gotze, 23, in a £20m deal. (Sun)
The Reds are also set to open talks with Leicester over a deal for 19-year-old left-back Ben Chilwell, while defender Martin Skrtel, 31, is set to leave Anfield.(Sunday Telegraph)
Manchester United are planning a move for £30m-rated Sevilla midfielder Grzegorz Krychowiak, the 26-year-old Poland international, who has also been scouted by Arsenal. (Sun)
Antonio Conte hopes to bring Napoli's Senegalese defender Kalidou Koulibaly, 24, to Chelsea in the summer. (Gazzetta dello Sport)
Southampton have been watching Anderlecht midfielder Dennis Praet and will consider a £10m bid for the 22-year-old. (Mail on Sunday)
Lyon president Jean-Michel Aulas says the club have rejected West Ham's £31m bid for 24-year-old forward Alexandre Lacazette. (Goal.com)
Chelsea are interested in Inter Milan goalkeeper Samir Handanovic and could pay £15m for the Slovenian 31-year-old. (Gazzetta dello Sport)
Arsenal hope to soon be able to announce the signing of 23-year-old Borussia Monchengladbach and Switzerland midfielder Granit Xhaka. (ESPN)
The Gunners have been has told they will need to pay £7m to sign Bolton's England U-21 defender Rob Holding, 20, having had an initial offer of £750,000 dismissed. (Sunday Express)
Liverpool striker Mario Balotelli, 25, is a target for Serie A newcomers Crotone after spending this season on loan at AC Milan.(Liverpool Echo)
Goalkeeper Wojciech Szczesny, 26, who spent this season on loan at Roma, claims he learned more during his spell with the Italian club than in 10 years at Arsenal.(Il Tempo, via Evening Standard)
Besiktas midfielder Oguzhan Ozyakup, 23, who spent five years at Arsenal, should move to Chelsea, according to the Turkish club's president.(TRT, via Sunday Express)
Everton striker Romelu Lukaku, 23, says he has already made a decision over his future and that Chelsea are among "many beautiful clubs" that suit him.(Liverpool Echo)
Tottenham striker Harry Kane, 22, says 18-year-old Manchester United forward Marcus Rashford deserves his place in Roy Hodgson's England squad.(Independent)
|More from BBC Sport|
|Man Utd win FA Cup after extra time|
|Man Utd to appoint Mourinho|
|Watford name Mazzarri as new boss|
Barcelona and Uruguay striker Luis Suarez, 29, has praised new Celtic manager Brendan Rodgers' influence on his game during their time at Liverpool.(Sunday Express)
Defender Hector Bellerin, 21, has said he remains committed to Arsenal despite interest from his former club Barcelona.(Evening Standard)
Bournemouth manager Eddie Howe "ticks every box" for a chairman and will be interesting the top clubs in the Premier League, according to former Cherries midfielder and ex-Liverpool captain Jamie Redknapp.(Bournemouth Echo)
Nottingham Forest are interested in signing 22-year-old Scotland striker Tony Watt from Charlton.(Nottingham Post)
Newcastle will offer 20-year-old defender Macaulay Gillesphey a new deal to stay at St James' Park. (Newcastle Chronicle)
Best of social media
Former Arsenal midfielder Robert Pires' seven-year old son Theo has signed for the club's academy, the ex-France international tweeted: "Proud of Theo!"
Eric Dier replied to an England video of his Tottenham team-mate Dele Alli scoring from close range in training with this tweet.
But the teenager was quick to hit back with this response.
The official Facebook page for West Ham, who were relying on a Manchester United win to make it into the Europa League, had a message for Louis van Gaal's side ahead of Saturday's FA Cup final.
Jose Mourinho was preoccupied as news of him becoming the next Manchester United manager broke, the Portuguese was ringside for David Haye's fight with Arnold Gjergjaj. (Sunday Mirror)
Have you added the new Top Story alerts in the BBC Sport app? Simply head to the menu in the app - and don't forget you can also add score alerts your football team and more.