The 68-year-old has moved to clarify that his visit to the Principality was not linked to the prospective sale of the Ghanaian.
The Ghana international, 26, has been linked with a switch to Stade Louis II in recent weeks, speculation that has since intensified after it was revealed Galliani had traveled to the Principality.
However, the 68-year-old insisted it was not business which lead him to Monaco and expects the former Tottenham midfielder - whose contract runs out in 2014 - to remain at San Siro beyond this summer.
"There have been no requests for Boateng," Galliani told Sky Sport. "No clubs have tabled an offer for him and he has not expressed a desire to leave.
"There was no meeting with Monaco. I just went for a courtesy visit but nobody believes me."
Meanwhile, the Rossoneri chief also revealed negotiations for the sale of Robinho have stalled with Santos over disagreements regarding the player's value.
"The negotiations for Robinho have stopped. We had been dealing with them but we do not agree on the numbers."