The midfielder shone in Italy this season and he is being linked with a move this summer.
Everton have already shown an interest in the Uruguayan, while Napoli are keeping tabs on him too.
And now, according to Tutto Mercato, Arsenal have made an enquiry for Torreira too.
The Gunners are looking to sign a new central midfielder and have earmarked the 22-year-old.
Torreira is available for around £22million due to a release clause in his current contract.