The offer was reportedly made shortly after the two sides met in the Champions League.
Manchester City were clearly so impressed by one Juventus player in particular during their Champions League meeting on Wednesday that, according to Gazzetta dello Sport, they decided to make a bid for him straight after the game.
Left-back Alex Sandro put in the cross that led to the only goal of the game, before becoming the subject of a £28.1m bid from the Citizens. However, Gazzetta have confirmed that the Italian champions quickly rejected the offer for the 24-year-old.
The Brazil international has made a good start to life at Juventus Stadium, with three assists coming in his first nine games. Despite Sandro's promise, Massimiliano Allegri has preferred to turn to experience - perhaps due to the Old Lady's lacklustre start to the new campaign - and has often chosen to select Patrice Evra on the left-hand side of his defence.
Manuel Pellegrini's side could do with a fresh face in that area of the field. The humbling defeat to Liverpool recently suggested that the back four needs an injection of energy, and thus, it may not be the last bid that City make for the enterprising full-back.