Les Rouges et Blancs have released a statement declaring no permission has been given to rivals to speak to the France international.
Monaco have threatened to report “important” clubs to FIFA over Kylian Mbappe approaches.
The France international has been linked with big-money moves to the likes of Real Madrid, Manchester City and Arsenal.
“AS MONACO regretfully notice that important European football clubs made contacts with Kylian Mbappé (and his entourage) without its authorization,” read a statement.
“AS MONACO want to remind to these clubs that such actions are contrary to the article 211 of the Administrative regulation of the French Football League (Ligue de Football Professionnel) and to the article 18.3 of the Regulation of the Status and the Transfer of the Players of FIFA.
“To put an end to this unacceptable situation, AS Monaco consider asking the French Football League (Ligue de Football Professionnel) and the FIFA to commit disciplinary procedures against clubs offenders.”
Mbappe has already begun pre-season with Monaco and will feature in the Super Cup against PSG on July 29.