Brighton have already lost their influential midfielder Yves Bissouma to Tottenham in a £30m-plus deal and will hope to keep hold of their other star performers such as Manchester City and Chelsea target Marc Cucurella and Belgian international Leo Trossard, who has been linked with Man United, Newcastle and West Ham.
Champions Man City have already made some bold moves with Kalvin Phillips joining from Leeds United and striker Erling Haaland arriving from Borussia Dortmund.
Man United are expected to announce the signing of Christian Eriksen, while Arsenal have added Brazil striker Gabriel Jesus.
Following the latest deals, Sussex World have looked at how the final Premier League table could stand come the end of next season based on every team's odds of finishing in the top four.
13. Everton - 33/1
The Toffees escaped relegation on the penultimate game of last season. Photo: OLI SCARFF
14. Crystal Palace - 33/1
The Eagles finished 12th last term and are predicted for a similar placing next campaign Photo: Mike Hewitt
15. Leeds United - 50/1
The Whites escaped relegation on the final day of last season and have already spent over £50m on three new players this summer. Photo: Ben Hoskins
16. Brentford - 50/1
The Bees were the only promoted club from last season to survive. Photo: PAUL ELLIS