According to the Daily Mail, N'Zonzi is once again keen on a fresh challenge away from Sevilla, where he has starred since making the move from Stoke in 2015 and has handed in a transfer request to force the issue.
The Arsenal stars went through a bleep test during the indoor training session as the new manager tries to impose his philosophy and style of play on the players before the start of the season.
Guendouzi is able to play in defensive midfield and made 18 appearances in Ligue 2 last season, while the fee is likely to surpass €8m (£7m/$9.4m) plus bonuses.
Torreira will fly direct to London from Moscow after Uruguay were knocked out of the World Cup on Friday.
The 19-year-old, who was part of Paris Saint-Germain's youth setup, moved to Lorient in 2014 and broke into the first team in the 2016-17 season with nine appearances.
The signing of the trio would take Arsenal's tally to six incomings so far this summer.
Right-back Stephan Lichtsteiner joined on a free transfer after leaving Juventus, while goalkeeper Bernd Leno and centre-back Sokratis Papastahopoulos arrived from Bayer Leverkusen and Borussia Dortmund respectively.