But in the meantime, top-flight clubs continue to be linked with a host of new signings when the transfer window re-opens this summer.
We’re sharing the latest rumours from around the Premier League – so scroll and click through the pages to see the latest news and gossip:
. Club-record deal in doubt
LA Galaxy have walked away from talks regarding a potential club-record deal for Burnley defender Ben Gibson. (The Sun) | Getty
. He only joined Barca last month
Everton and Crystal Palace are keen on Barcelona forward Martin Braithwaite with the La Liga giants prepared to offload him for 15m. (Sport) | Getty
. Gunners target Danish talent
Arsenal have registered an interest in Brondby midfielder Anis Ben Slimane. The Danish club have set his asking price at 4.6m. (BT - in Denmark) | Getty
1. Club-record deal in doubt
LA Galaxy have walked away from talks regarding a potential club-record deal for Burnley defender Ben Gibson. (The Sun) | Getty
2. He only joined Barca last month
Everton and Crystal Palace are keen on Barcelona forward Martin Braithwaite with the La Liga giants prepared to offload him for 15m. (Sport) | Getty
3. Gunners target Danish talent
Arsenal have registered an interest in Brondby midfielder Anis Ben Slimane. The Danish club have set his asking price at 4.6m. (BT - in Denmark) | Getty
4. Blues win race for defender
Chelsea are close to completing a deal for 30m-rated Lille defender Gabriel - seeing off competition from Everton and Arsenal. (Eurosport France) | Getty