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...
1. Chelsea in for Chukwuemeka
Chelsea are set to sign Aston Villa midfielder Carney Chukwuemeka for £20m. (Sky Sports)
2. Palace close in on defender deal
Crystal Palace have agreed a fee with Larne FC to sign defender Kofi Balmer. The centre-back is now finalising terms on a move to Selhurt Park. (Sky Sports)
3. Albion keen on Udogie
Brighton are pushing to sign Udinese left-back Destiny Udogie as a potential replacement for Chelsea target Marc Cucurella. (Sport Italia)
4. Fulham bid for Bailly
Fulham have submitted an offer for Manchester United defender Eric Bailly. (Football Insider)