The Serie A giants are hopeful there is still an outside chance they could sign the Japan international before the end of the current transfer window
The Japan international, whose contract in the Russian capital expires in December, has repeatedly been linked with a move to San Siro in recent months, with both clubs previously reported to be nearing a deal for the player.
However, the proposed switch was thrown into some doubt recently after the club's president, Yevgeni Giner, claimed the 27-year-old could be held for the remainder of his existing deal.
But Galliani says he is still hopeful an agreement can be reached before the end of the transfer window.
He told reporters: "There might still be an outside chance that Honda could join us.
"Over the next few days there could be the opportunity to hold a meeting with CSKA Moscow directors."
Honda has netted 19 times in 78 appearances for the capital club since arriving from VVV Venlo in 2009.