Manchester United have signed Morocco midfielder Sofyan Amrabat on a season-long loan from Fiorentina.
Liverpool have signed midfielder Ryan Gravenberch from Bayern Munich in a deal worth about £34.3m.
Manchester City have completed the signing of Portuguese midfielder Matheus Nunes from Wolves for £53m.
Manchester United have completed the signing of Turkey goalkeeper Altay Bayindir from Fenerbahce for £4.3m.
Chelsea have completed the signing of England Under-21 forward Cole Palmer from Manchester City for an initial £40m.
Chelsea and Everton progressed to the next round of the League Cup after narrowly avoiding humiliating exits against AFC Wimbledon and Doncaster Rovers on Wednesday evening.
Tottenham Hotspur crashed out of the League Cup after losing 5-3 on penalties to Fulham following a 1-1 draw in the second round on Tuesday evening.
Manchester City striker Erling Haaland has won the PFA Players' Player of the Year award following his outstanding performance first season with the treble winners.
Burnley manager Vincent Kompany admits he was pleased with Bafana Bafana striker Lyle Foster following his stellar performance against Aston Villa over the weekend.
South African striker Lyle Foster scored his first Premier League goal for Burnley as they fell to a 3-1 defeat to Aston Villa.