Guardiola is understood to have travelled to Milan with his brother and representative, Pere Guardiola, and former assistant Manuel Estiarte.
The 41-year-old will apparently be present to watch Milan’s Champions League match against Malaga on Tuesday evening.
But Milan and Galliani quickly moved to deny that Guardiola is set to replace Massimiliano Allegri as coach of the club.
A statement from the club effectively quashed the speculation: "AC Milan denies the news appeared in some media for a few minutes relating to an alleged meeting between the Deputy Chairman and CEO Adriano Galliani and family or attorneys of Mr Guardiola."
Galliani, meanwhile, is quoted by La Gazzetta dello Sport as saying: “We have never thought of changing coaches. Allegri has a contract again next year."