Real Madrid are currently leading the race to sign the teenage sensation, with half of Europe's clubs also attempting to lure the striker.
Alexis Sanchez is Guardiola's priority, but City have also been trying to convince Mbappe of the benefits of developing under Pep Guardiola at the Etihad.
'City are talking actively to Mbappe's representatives, saying they are best placed to develop his career, where he could work with Pep Guardiola and be paid handsomely', Spanish football expert Graham Hunter told Sky Sports.
'Real Madrid, meanwhile, are wooing Mbappe's agents saying they will break the transfer record for this kid. Zidane, of course, has known Mbappe since he was 14'.
'The battle is with Manchester City and they are persuasive and Mbappe is now thinking long and hard between London, Madrid, Paris and now Manchester. City are in that battle'.
'At the moment it's hard to see him choosing Monaco over one of those, but none of clubs know who is favourite to sign this exceptional 18-year-old', Hunter concluded.