The Uruguay international spent last season out on loan, and it seems he will now leave the club permanently, with regular football not at all likely.
According to Fabrizio Romano, Arsenal are set to allow Torreira to join Turkish giants Lucas Torreira in a deal worth £8million.
Another player likely to leave this summer is Pablo Mari.
According to the Express, Serie A newcomers Monza are keen on a deal for the Spaniard.
It’s reported Monza have invited Mari’s agents to Italy for face-to-face negotiations.
Mari is said to have been told he can find a new club this summer.
Check out the latest Premier League transfer speculation below...
Another player likely to leave this summer is Pablo Mari.
5. Maddison ‘wants’ North London move
Leicester City midfielder James Maddison ‘wants to join’ Tottenham or Arsenal rather than Newcastle United. (Dean Jones)
6. Leeds have ‘no plans’ for Greenwood exit
Leeds United have no plans to loan out Sam Greenwood this summer after he signed a new contract. (Football Insider)
7. Gunners expected to move for Tielemans
Leicester City expect Arsenal to move for Youri Tielemans but are yet to receive any offers for the Belgium midfielder. (The Guardian)
8. Hammers hold Cornet talks
West Ham have held initial talks with Burnley over the signing of Newcastle United target Maxwel Cornet. The Hammers are understood to favour a loan, with Everton are also in discussions. (Dharmesh Seth)