In light of the extensive Arsenal links, this has led many to assume the 22-year-old midfielder will be joining Unai Emery's side once Uruguay's participation in the 2018 World Cup concludes.
Torreira, who played in Uruguay's defeat to France yesterday, is valued at around £26million.
A deal for Torreira to join Arsenal has been in the pipeline for a number of weeks. Agreed with Sampdoria & 22yo.
He was pleased with his displays in Russian Federation, and told Telenoche: "It's true that in the end I got into this squad, although I was not part of the qualifiers but happy with the performance I had personally".
Emery has already shown his intention of changing Arsenal's fortune in the coming season and has no doubt that N'Zonzi's arrival would strengthen the team's midfield.
Either way, pending a medical examination and signing of the real contract, the deal is thought to be done by Arsenal and the player's perspective. Lucas Torreira was excellent during the World Cup and showcased numerous traits which have been missing from Arsenal's midfield in the last decade.
The forward also enjoyed an impressive 2017/18 season in the Netherlands, having signed for PSV from Pachuca only last summer. But, he did go on to suggest the Gunners might be in the market for a much younger, future prospect.
The 23-year-old - whose global career has stalled since joining Arsenal from Southampton in 2014 with the last of his three caps coming four years ago - says he is keen to prove he is worthy of a regular run out for the first team to new manager Unai Emery.