Aulas said: "I said to Flo that I wasn't sure the deal was going to materialise and that it was necessary he went to Tignes [Lyon's training base].
"I am not sure Chelsea have the desire or the means to call out to Florent Malouda. [Chelsea chief executive] Peter Kenyon said to Flo he was leaving for Moscow to meet the club's owner [Roman Abramovich]. Sometimes, things happen quickly.
"But I don't feel these people really want to tie up this deal."
Malouda, who has also been linked with Liverpool, was not at Tignes on Monday for the Lyon squad's first day of pre-season training.