Torreira is currently training alone is Spain, with him trying to make his way back to North London from international duties with Uruguay without having to quarantine.
Uruguay is currently on the United Kingdom government's travel red list, and as a result he has not been able to participate in any of Arsenal's pre-season training due to his involvement in the Copa America.
Arsenal are reportedly content with the situation, with Mikel Arteta considering the Uruguayan not in the team, yet he is still determined to find a new club for Torreira.
According to a report from La Gazzetta Dello Sport, Lazio, the side that is most interested in the Uruguayan midfielder, the Italian club remains an option for Torreira.
Lazio's sporting director Igli Tare wanted Torreira when he was still at Sampdoria, and the 25-year-old midfielder is aware of the interest from the Biancocelesti and is open to playing under Maurizio Sarri.
After his mother passed away, Torreira spoke about his desire to return to South America and to play with South American giants Boca Juniors, yet it seems unlikely to happen due to financial reasons.
Torreira spent last season out on loan with Atletico Madrid, and while the club managed to win La Liga, he did not play a major role in the team, as while he playing in 26 games in all competitions, just five of them were starts.
However, he still has plenty of ability and he will be keen to have the chance to showcase it once again, and going back to Italy, where he impressed with Sampdoria, might be the perfect move for him to revive his career.