New boss, Unai Emery has already recruited three to his squad.
There had been some suggestions that Arsenal could move for the player, who was reportedly unhappy at Sevilla, but he is now thought to happy living in Spain.
Torreira is on worldwide duty with Uruguay at the 2018 FIFA World Cup and has played every minute of his country's last two games, a 3-0 thrashing of hosts Russian Federation following by a last-16 win over Portugal.
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Iran's OPEC governor Hossein Kazempour Ardebili speaks to journalists at a news conference in Tehran, Iran March 7, 2005. In a tweet on Saturday, Mr Trump said Saudi Arabia had agreed to increase oil output by up to two million barrels.
"It is as good as a fact that Lucas will join Arsenal", he said.
"The deal is virtually done and only the arrival of Lucas in [Colney] is remaining".
"Arsenal offered to do the medical examinations in Russian Federation but we decided against it because we felt it's inconvenient, it is not the right time". "There are many clubs who contacted us, but we have given our word to Arsenal and are very satisfied with what they offered".
England sends Colombia home following shoot-out drama
Colombian keeper David Ospina saved Jordan Henderson's effort, but Jordan Pickford turned away Carlos Bacca's attempt after Manuel Uribe hit the bar.
"But there's a whole programme getting readied for Lucas", he added.
Arsenal will hope Torreira's stock can rise like that of worldwide team-mate Rodrigo Bentancur, another promising midfielder who impressed in his maiden season at Juventus last term.
It's happening, Arsenal fans.
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Trump didn't drop it, and the next day made public remarks about a "military option" to remove President Nicolas Maduro. Bush , he was Bush's White House staff secretary and worked for Bush during the 2000 Florida vote recount.