For a list of all the completed deals, check out the transfers page.
Atletico Madrid's France international striker Antoine Griezmann, 25, who has scored 31 goals in Spain this season, is a £65m target for Manchester United. (Sun on Sunday)
United are also ready to bid £30m for Leicester midfielder N'Golo Kante, 25. (Daily Star Sunday)
The Foxes are considering a move for Sporting Lisbon's William Carvalho, 24, if Kante departs. (Sun on Sunday)
Jose Mourinho will be paid by Manchester United - even if he never works for them. The 53-year-old Portuguese has been lined up to take over from Louis van Gaal and the deal includes a "substantial" compensation clause should United decide to retain the Dutchman. (Sunday Mirror)
Van Gaal insists he will still be in charge at Old Trafford next season. (Daily Star Sunday)
Leicester City will begin their preparations for the Champions League by offering manager Claudio Ranieri and 25-year-old midfielder Riyad Mahrez lucrative new contracts. (Sunday Telegraph)
Should they hold onto their best players the Foxes will prove a force in Europe next season, according to Southampton boss Ronald Koeman. (Sunday Mirror)
Arsenal will move for Robert Lewandowski, 27, should the Poland striker decide to leave Bayern Munich. (Sunday Mirror)
West Ham plan to hold talks over Lyon striker Alexandre Lacazette, 24, as they prepare to break the club's transfer record to mark their arrival at the Olympic Stadium. (Mail on Sunday)
Manchester City manager Manuel Pellegrini has turned down job offers from around the world - including from within the club's own franchises - to see what opportunities come up in the Premier League this summer. (Mail on Sunday)
Tottenham captain Hugo Lloris, 29, is set to commit himself to the club for the next five years. (Sunday Mirror)
Real Madrid's Colombia international forward James Rodriguez, 24, could favour a move to Juventus this summer despite interest from Premier League clubs. (Corriere dello Sport, via Marca)
Real have opened talks early with Gareth Bale, 26, in a bid to head off interest from Manchester City. (Sunday Express)
Aston Villa want former Leicester boss Nigel Pearson as their new manager but are delaying an announcement to focus on a proposed takeover. (Sunday Telegraph)
Real Madrid and Portugal forward Cristiano Ronaldo, 31, has been warned that he could miss Euro 2016 if he plays against Manchester City in the Champions League on Wednesday. (Manchester Evening News)
The former Manchester United player tells fans his recovery from hamstring trouble is going "very well" and gives the thumbs up to indicate he is optimistic of being fit for Wednesday's vital game. (Marca)
Crystal Palace manager Alan Pardew wants to sign West Brom striker Saido Berahino, 22, who has one year left on his contract with the Baggies.(Sun on Sunday)
Best of social media
Two legendary former Scunthorpe United players were at Glanford Park on Saturday. Ray Clemence and Ian Botham saw the Iron win to move up to seventh in League One.
Newcastle's Andros Townsend, whose free-kick gave them a key win over Crystal Palace, wrote: "What a win! What an atmosphere! What a save from @KarlDarlow .... 2 more to go! NUFC."
After scoring twice in the dying minutes to give Watford victory over Aston Villa, Troy Deeney remembers his roots with a message for former club Chelmsley Town on their promotion to Midland League Division One, writing on Twitter: "Congratulations to all @chelmsleytown on the promotion today."
Around 100 Everton fans stayed behind for 90 minutes after Saturday's win over Bournemouth to protest against manager Roberto Martinez - but goalkeeper Tim Howard was just glad to make his first appearance for the club since January, tweeting: "Amazing feeling to put on this jersey & play in front of the @Everton faithful today!! Glad to bring home 3 points."
Aston Villa's Jack Grealish remained defiant after the relegated side's 11th consecutive defeat: "Very harsh result today, thought we deserved more. @kevintoner60 was brilliant on his first premier league start. Well done bro!"
FA Trophy semi-finalists Bognor Regis Town, beaten in their Ryman Premier League play-off semi-final, turn their thoughts to next season.
Tickets for Kasabian's 28 May concert at Leicester's King Power Stadium sold out within six minutes so the band, fans of the Premier League champions-elect, announced they will play an additional gig the following day. (Leicester Mercury)
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