However, in the meantime, Brighton and Hove Albion and their fellow top-flight counterparts continue to be linked with potential new signings ahead of the transfer window re-opening.
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 from around the web:
5. Umtiti prefers Chelsea move
Barcelonas 45m-rated defender Samuel Umtiti has informed Chelsea he prefers to join them this summer, despite interest from Arsenal and Manchester United. (Daily Star) | Getty
6. Gunners submit 35m offer
Arsenal have made an offer for 35m Espanyol midfielder Marc Roca with Dani Ceballos expected to return to Real Madrid. (Marca) | Getty
7. Reds shortlist Traore
Liverpool have shortlisted Wolves winger Adama Traore in case they lose either Sadio Mane or Mohamed Salah this summer. (Football Insider) | Getty
8. Man Utd set sights on Niguez
Manchester United are likely to pursue a 70m deal for Atletico Madrid midfielder Saul Niguez. He reportedly has a 132m release clause. (AS) | Getty