Manchester United
In:
Romelu Lukaku (£75m from Everton)
Nemanja Matic (£40m from Chelsea)
Zlatan Ibrahimovic (free transfer)
Victor Lindelof (£31m from Benfica)
Out:
Wayne Rooney (undisclosed to Everton)
Zlatan Ibrahimovic (released)
Adnan Januzaj (£8m to Real Sociedad)
Josh Harrop (free transfer to Preston North End)
Regan Poole (loan to Northampton)
Dean Henderson (loan to Shrewsbury)
Sam Johnstone (loan to Aston Villa)
Devonte Redmond (loan to Scunthorpe United)
Cameron Borthwick-Jackson (loan to Leeds)
Timothy Fosu-Mensah (loan to Crystal Palace)
Guillermo Varela (Undisclosed to Penarol)
Matty Willock (loan to Utrecht)
Chelsea
In:
Alvaro Morata (£58m from Real Madrid)
Danny Drinkwater (£35m from Leicester City)
Antonio Rudiger (£34m from AS Roma)
Tiemoue Bakayoko (£39.7m from Monaco)
Willy Caballero (free from Manchester City)
Kylian Hazard (Undisclosed from Ujpest)
Davide Zappacosta (Undisclosed from Torino)
Out:
Nemanja Matic (£40m to Manchester United)
John Terry (free to Aston Villa)
Juan Cuadrado (undisclosed to Juventus)
Nathan Ake (£20m to Bournemouth)
Kurt Zouma (loan to Stoke City)
Christian Atsu (undisclosed to Newcastle United)
Asmir Begovic (undisclosed to AFC Bournemouth)
Dominic Solanke (free transfer to Liverpool)
Alex Kiwomya (undisclosed to Doncaster Rovers)
Bertrand Traore (£8m to Lyon)
Alex Davey (released)
Kasey Palmer (loan to Huddersfield Town)
Todd Kane (loan to Groningen)
Charlie Colkett (loan to Vitesse)
Ola Aina (loan to Hull)
Ruben Loftus-Cheek (loan to Crystal Palace)
Nathaniel Chalobah (undisclosed to Watford)
Tammy Abraham (loan to Swansea City)
Marko van Ginkel (loan to PSV Eindhoven)
Ike Ugbo (loan to Barnsley)
Mukhtar Ali (loan to Vitesse)
Mason Mount (loan to Vitesse Arnhem)
Izzy Brown (loan to Brighton)
Tomas Kalas (loan to Fulham)
Michael Hector (loan to Hull City)
Jamal Blackman (loan to Sheffield United)
Matt Miazga (loan to Vitesse Arnhem)
Bekanty Victorien Angban (loan to Waasland-Beveren)
Mario Pasalic (loan to Spartak Moscow)
Lewis Baker (loan to Middlesbrough)
Kenneth Omeruo (loan to Kasimpasa)
Jeremie Boga (loan to Birmingham City)
Jordan Houghton (loan to Doncaster Rovers)
Arsenal
In:
Alexandre Lacazette (£46.5m from Lyon)
Sead Kolasinac (free transfer from Schalke)
Out:
Alex Oxlade-Chamberlain (£35m to Liverpool)
Wojciech Szczesny (£10m to Juventus)
Kieran Gibbs (£7m to West Brom)
Takuma Asano (loan to Stuttgart)
Chris Willock (free to Benfica)
Stefan O’Connor (free to Newcastle United)
Yaya Sanogo (free to Toulouse)
Kaylen Hinds (£2m to Wolfsburg)
Kristopher da Graca and Kostas Pileas (all released)
Marc Bola (loan to Bristol Rovers)
Dan Crowley (undisclosed to Willem II)
Emi Martinez (loan to Getafe)
Stephy Mavididi (loan to Preston North End)
Gabriel Paulista (£10m to Valencia)
Carl Jenkinson (loan to Birmingham City)
Cohen Bramall (loan to Birmingham City)
Ismael Bennacer (Undisclosed to Empoli)
Savvas Mourgos (Undisclosed to Norwich City)
Jon Toral (Undisclosed to Hull City)
Kelechi Nwakali (loan to VVV-Venlo)
Donyell Malen (undisclosed to Jong PSV)
Lucas Perez (loan to Deportivo)
Joel Campbell (loan to Real Betis)
Liverpool
In:
Alex Oxlade-Chamberlain (£35m from Arsenal)
Mohamed Salah (£35m from AS Roma)
Andrew Robertson (£10m from Hull City)
Dominic Solanke (free transfer from Chelsea)
Out:
Mamadou Sakho (£24m to Crystal Palace)
Madger Gomes (free transfer to Leeds United)
Alex Manninger (retired)
Andre Wisdom (£3m to Derby County)
Tom Brewitt
Jake Brimmer
Jack Dunn
Kane Lewis
Adam Phillips (all released)
Ryan Fulton (Undisclosed to Hamilton Academical)
Lucas Leiva (Undisclosed to Lazio)
Kevin Stewart (Undisclosed to Hull City)
Pedro Chirivella (loan to Willem II)
Connor Randall (loan to Hearts)
Taiwo Awoniyi (loan to Royal Excel Mouscron)
Shamal George (loan to Carlisle United)
Sheyi Ojo (loan to Fulham)
Divock Origi (loan to Wolfsburg)
Allan Rodrigues de Souza (loan to Apollon Limassol)
Ryan Kent (loan to Freiburg)
Manchester City
In:
Bernardo Silva (£43m from Monaco)
Ederson (£35m from Benfica)
Kyle Walker (undisclosed from Tottenham)
Danilo (£26.5m from Real Madrid)
Benjamin Mendy (£52m from Monaco)
Douglas Luiz (undisclosed from Vasco De Gama)
Out:
Joe Hart (loan to West Ham United)
Samir Nasri (£3.5m to Antalyaspor)
Pablo Zabaleta (free transfer to West Ham United)
Willy Caballero (free to Chelsea)
Gael Clichy (free to Istanbul Basaksehir)
Jesus Navas
Aleix Garcia (loan to Girona)
Fernando (Undisclosed to Galatasaray)
Bacary Sagna
Callum Bullock
Billy O’Brien
Ellis Plummer (all released)
Enes Unal (undisclosed to Villarreal)
Angus Gunn (loan to Norwich City)
Aaron Mooy (£8m to Huddersfield Town)
Bersant Celina (loan to Ipswich Town)
Angelino (loan to NAC Breda)
Ruben Sobrino (undisclosed to Alaves)
Joe Coveney (undisclosed to Nottingham Forest)
Bruno Zuculini (undisclosed to Hellas Verona)
Olivier Ntcham (undisclosed to Celtic)
Nolito (£7.9m to Sevilla)
Aleksandar Kolarov (£4.5m to Roma)
Douglas Luiz (loan to Girona)
Marlos Moreno (loan to Girona)
Kelechi Iheanacho (£25m to Leicester)
Brandon Barker (loan to Hibernian)
Patrick Roberts (loan to Celtic)
Jadon Sancho (£8m to Borussia Dortmund)
Jason Denayer (loan to Galatasaray)
Wilfried Bony (Undisclosed to Swansea City)
Tottenham Hotspur
In:
Davinson Sanchez (£42m from Ajax)
Serge Aurier (£23m from Paris Saint-Germain)
Fernando Llorente (Undisclosed from Swansea City)
Juan Foyth (£8m from Estudiantes)
Paulo Gazzaniga (Undisclosed to Southampton)
Out:
Kyle Walker (undisclosed to Manchester City)
Kevin Wimmer (£18m to Stoke City)
Luke McGee (undisclosed to Portsmouth)
Nabil Bentaleb (£16m to Schalke)
Federico Fazio (£2m to Roma)
Connor Ogilvie (loan to Gillingham)
Filip Lesniak
Tom McDermott
Joe Muscatt
Charlie Owens and Zenon Stylianides (all released)
Clinton Njie (undisclosed to Marseille)
Tom Glover (loan to Central Coast Mariners)
Anton Walkes (loan to Atlanta United)
Joshua Onomah (loan to Aston Villa)
Cameron Carter-Vickers (loan to Sheffield United)