Newcastle United are yet to make their first move - although they have been linked with a World Cup bound midfielder.
Here's the transfer news in the headlines today:
Newcastle United are battling it out with a trio of Premier League clubs for the loan signing of Chelsea's Ruben Loftus-Cheek. The midfielder, who is set to jet off to the World Cup with England this summer, enjoyed a fine season at Selhurst Park and was on Rafa Benitez's radar last summer. Everton, West Ham and Palace are also keen (Sun - Print Edition)
Meanwhile, reports suggest that the Magpies are holding out for an Â£18million fee for Fulham target Aleksandar Mitrovic in the hope that he impresses at the World Cup (Star)
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Manchester United and Chelsea are both interested in Barcelona defender Jordi Alba (Sport)
Leicester City's Riyad Mahrez could be on the move for a cut-price fee of Â£60million, which would still make him Manchester City's record signing.
Gareth Bale remains a target for Manchester United, who are prepared to offer over Â£120million for the Welsh winger (AS)
Arsenal look set to be beaten to the signing of Atletico Madrid's Uruguayan defender Jose Gimenez, with Real Madrid set to trigger his Â£53million release clause.
North London rivals Tottenham are eyeing up a move for Southampton goalkeeper Alex McCarthy (Mirror)
Burnley are keen on re-signing striker Jay Rodriguez from recently-relegated West Brom (Times)
Young midfielder Phil Foden is set to sign a new contract at Manchester City, but will be loaned out next season (Telegraph)