And his immediate impact when playing for the Gunners has been revealed in incredible stats.
Torreira, 22, has played in all eight of Arsenal's Premier League games so far this season but only started three: the wins over Everton, Watford and Fulham.
The Gunners have also played Vorskla, Torreira's first start, and Qarabag in the Europa League and saw off Brentford in the League Cup and have won their last nine matches.
Stats revealed that across Arsenal's 11 matches, Torreira has played 548 of the 990 minutes this season.
In those 548 minutes, Arsenal have scored 20 goals and conceded just three times.
But in the 442 minutes with Torreira off the pitch, Unai Emery's side have scored nine and conceded ten.
It shows how important the 5ft 6in holding midfielder is to the Arsenal team already, despite only just joining the Premier League.
In the 5-1 win at Fulham last weekend, the Uruguayan completed 84 per cent of his passes, won seven out of his nine duels and made six interceptions in a stellar performance at Craven Cottage.
Although Alexandre Lacazette, Aaron Ramsey and Pierre-Emerick Aubameyang grabbed the headlines with their fantastic goals, Torreira's influence on the game deserves recognition.
Matteo Guendouzi, still just 19, started the season in midfield alongside Granit Xhaka and did impress in the opening matches.
But it is the Swiss international Xhaka that has retained his place in the starting line-up and partners Torreira.
Arsenal splashed £27million on Torreira, who impressed at the World Cup in Russia, and Martin Keown believes the presence of the diminutive enforcer has already helped Xhaka.
Keown said: “Well he’s tenacious. He’s going to cover (ground) and he’s going to give you the miles.
“He’s going to play in that area that Arsenal adopt now. If they’re pushing up from behind it’s easier for the midfield players.
“Xhaka I think can then get on the ball a little bit and show some of the qualities that he has, instead of people giving him stick saying ‘well you can’t tackle’. Torreira can do that role for him.”
Players know they have been accepted by their new club's supporters when they hear their name being sung in the stands.
And Torreira has had that already, with Gunners fans making up a brilliant chant similar to the one for club legend Patrick Vieira during his time at Highbury – and he did not do too badly for the club.
They sang: "Torreira woooaaahh, Torreira woooaaahh, he comes from Uruguay, he's only five foot high!”
Emery was sensible to integrate the new man steadily and resisted the temptation to throw the midfielder in at the deep end immediately.
But the head coach has been impressed by what Torreira has displayed so far.
Emery said: “He’s very young, it's his first season here at this level but he was playing in Italy which is a very hard competition also.
“He is playing also with his national team, against big teams. And here, I think with his process he's doing very well.
“The first is his humility to work every day, to listen, to learn. He is playing today in the middle, then right in the 4-4-2 and his performance is the same.
“I think his career is just starting and we want to do it with him, he can do it with us, giving us and giving him the best performances at the best level.”
Torreira suffered a minor injury scare on international duty but Gunners fans will be desperate he returns to North London safely.
After Uruguay's fixtures against Japan and South Korea this week, Arsenal host Leicester on October 22.
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