Torreira, 22, will undergo his medical before putting pen to paper on a long-term contract.
Speaking at the airport prior to his flight to England on Sunday morning, Torreira apologised for not returning to Uruguay with the rest of the squad but admitted he could not hold off completing a move to Arsenal any longer.
Neymar leads Brazil into World Cup quarter-finals
However, Despite the controversy looming over him, he managed to score a goal and an assist in a 2-0 win over Mexico . Neymar had been accused of faking an injury in the game, and video of Tite's criticism was widely viewed.
And the midfielder was pleased with his performances in Russian Federation as Uruguay reached the quarter-finals.
England global defender Calum Chambers is willing to battle to gain a first choice place at Arsenal after signing a long term contract on Tuesday.
Arsenal hope to complete Lucas Torreira deal next week.
The Gunners agreed a £26.4million fee with Sampdoria for Torreira shortly before the start of the World Cup, though opted not to conduct the medical in Russian Federation and instead allowed him to focus exclusively on the tournament.
Uruguay ousts Cristiano Ronaldo and Portugal in 2-1 World Cup game
He's a shining light for us all, and we have to do our very best to all try to be at his level. "In this World Cup , he helped us so much, scoring four goals".
Yes, we could have done things differently, but I did not want to think about other things.
In summary, it looks like Arsenal are closing on a player very similar to Kante and someone who could reach his heights in the future.
According to Sky Sports, new manager Unai Emery is keen to work with the 29-year-old again, having previously managed N'Zonzi at the Ramon Sanchez Pizjuan Stadium.
Trump mocks #MeToo movement and praises Putin in latest rally
The visit comes less than two weeks after his eldest son, Donald Trump Jr ., campaigned for Rosendale in the city of Billings. Donald Trump mocked Elizabeth Warren's ancestry and the #MeToo movement at a rally on Thursday night in Great Falls, Montana.
Emery's side begin their pre-season campaign at non-league Boreham Wood on July 14.