Isaac Hayden joined Newcastle United on a five-year deal.
The FA opts for Allardyce to replace Roy Hodgson after Arsene Wenger rejection.
Granit Xhaka returned to pre-season training ahead of Arsenal's friendly against Lens on Friday.
Leo da Silva has made 10 appearances for Peterborough United and has been likened to Dele Alli.
Arsenal were hoping to tie down Bellerin to new deal.
Moussa Sissoko earlier admitted that Arsenal are his dream club.
Mauro Icardi is currently with Inter Milan on their pre-season tour of the United States.
Campbell completed his first full season with Arsenal in 2015/16 after joining the club in 2011.
Wellington Silva's first appearance in England came when he joined Bolton in 2015.
Gonzalo Higuain has two years remaining on his current deal with Napoli.
Gunners begin their preseason campaign against Lens on Friday
Arsenal play five matches during their pre-season tour including a clash against Manchester City in Sweden.
Inter Milan have insisted that Mauro Icardi is not for sale, despite his agent confirming interest from clubs across Europe.
The Gunners manager says players need the break to come back with hunger
Joel Campbell completed his first full season for Arsenal since joining in 2011 making 30 appearances in 2015/16.
The 29-year-old forward was the subject of a £20m bid from the North London club.
'Scout' Tony Banfield says he would sign a blank cheque to have Napoli midfielder Jorginho
The 49-year-old was Gunners captain for 14 years during his playing career.
Gunners reportedly exploring swap deal involving Olivier Giroud to bring Argentina striker to Emirates.
FA eager to appoint an English manager, and Hull boss could fit the bill.
Wenger wanted Henry to quit either Sky network or his role as Arsenal's youth coach.
Arsenal legend claims Gabriel is not used to the demands of the Premier League.