"Torreira is an excellent player, but he's not the only one we're thinking about. It's not that Giampaolo [Marco, head coach] asks me so insistently about him," said Torino president Urbano Cairo, as cited by Italian publication Tuttosport.
"There are other names but we do not say who we are following. We completed the three moves that Giampaolo cared about."
The midfielder, who is valued at around £27m, is expected to return to Italy after two years at the Emirates.
He has found minuted hard to come by under Mikel Arteta as the boss has switched to a 3-4-3 shape and preferring Dani Ceballos to the little Uruguayan.
After the resumption of the Premier League football, Torreira had been given just 159 minutes of football before the end of the season.
Earlier, we discussed why Mohamed Elneny looks like a likelier candidate than the 24-year-old to survive Arsenal squad clearout.
Fiorentina appears to be another option for Lucas, as the Florence-based side are reportedly very close to finding an agreement with the Arsenal enforcer.
