But in the meantime, Brighton and Hove Albion and their fellow top-flight rivals continue to be linked with a host of new signings for when the transfer window re-opens.
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:
1. Leeds to re-ignite Brewster interest
Leeds United will try for a second time to sign Liverpool striker Rhian Brewster on loan this summer after losing out to Swansea City in January. (Football Insider)
2. Hammers join Koch race
West Ham have joined Tottenham, Norwich and Leeds in the race for Freiburg centre back Robin Koch, who is valued at around 19m. (Daily Star)
3. Pope tipped to leave Turf Moor
Former England goalkeeper Paul Robinson has tipped Nick Pope to leave Burnley for one of the top clubs in the Premier League. (Football Insider)
4. Reds enter Fraser race
Arsenal are still leading the chase to sign Bournemouth winger Ryan Fraser, despite Liverpool holding advanced talks with the player. (Daily Mirror)