The French side, who are currently in Ligue 2, have lofty ambitions, and have reportedly targeted the Premier League champions’ attacking pair.
Businessman Dmitry Rybolovlev, who owns Monaco, is willing to spend up to £28m to draft in the French and Argentinian internationals, so long as the Mediterranean side gain promotion to the top flight.
He values Nasri at around £20m, whilst he is willing to splash £8m on Tevez, whose contract will expire at the end of next season.
With City plotting wholesale changes this summer, manager Roberto Mancini may be willing to part company with the pair to free up space in his squad and slash the club’s wage bill.
Tevez has long been linked with a move away from the Etihad Stadium, and may be tempted by a spell in a new league following time with West Ham, Manchester United and City.
Nasri is believed to be high on Monaco’s list of targets, with the club keen to lure a senior French international to the club as a signal of intent.
With the principality a tax haven, the duo may be tempted to make, what would likely be, a financially lucrative switch.