The Rossoneri boss was reported to have met the Russian at the Four Seasons hotel in the French capital to discuss terms to take over at Stamford Bridge, but Galliani has been assured by Ancelotti the reports are incorrect.
"I have spoken to Ancelotti and can confirm that he was in Paris on Monday, but not to meet Abramovich," Galliani said. "That is something he has denied expressively. He was in Paris on his own business.
"Ancelotti is coach of Milan and will continue to be so."