Arsenal eventually snapped up the youngster in a deal worth £26 million (€30m/$34m), and he has gone on to feature in all three of the Gunners' Premier League games so far this season.
But according to Torreira's agent, his fate may well have been different had Carlo Ancelotti been announced earlier as Maurizio Sarri's Napoli successor.
“It’s a pity, I’m sorry Ancelotti wasn’t there at the start of the negotiation,” Pablo Bentancur explained to Radio Crc.
“He’d have been a great help for Torreira, he has tremendous international experience.
"But then Lucas called me and he confirmed to me that negotiations with Arsenal were too advanced for any second thoughts.
“If Arsenal had collapsed then Napoli would have been perfect."
Despite that brush with the Serie A club, Bentancur affirmed that his client was delighted to be at Arsenal and involved in Unai Emery's first-team plans.
"Arsenal satisfied all of our requests, even paying €5m more than the release clause," he added.
"He’s adapting well to the Premier League, he’s settling well and he’s happy.”