The Diavolo have been trying to net the Japanese international for weeks, but the Russian club have so far refused to sell.
The midfielder will be available on a free transfer in January, but the San Siro giants have been trying to net him immediately by offering a nominal fee.
“Has Honda almost vanished? I think so, with the last telephone call,” the transfer chief noted. “The CSKA President has told me that he won’t sell.
“Therefore we will stay as we are. There are not a lot of transfer gifts out there for boss Massimiliano Allegri.”
The official then confirmed that M’Baye Niang, wanted by Genoa, would be remaining at the Stadio Giuseppe Meazza.
“Niang will be staying with us, that is for certain. He also scored a really good goal against LA Galaxy.”
That strike came in a 2-0 win that ensured the Rossoneri finished their Guinness International Champions Cup campaign on a high.
“We played well and we took a really good third place,” Galliani added. “The team was well organised and played the ball around well.
“Serie A? Milan competed with everyone in the second half of the season last year and the team can be competitive again.”
Luca Antonelli is happy to continue his career at Genoa despite attracting the transfer interest of two Serie A giants.
“The boy is settled at Genoa,” agent Oscar Damiani commented. “There have been enquiries from Inter, Napoli and abroad, but nothing concrete.”
The 26-year-old, a left-back, is a product of the Milan youth system. He moved to Bari in 2007 before a transfer to Parma just six months later.
Antonelli appeared in 33 games for the Grifone last term, scoring one goal.
An Italian international, he missed the Confederations Cup campaign this summer because of a shin injury.
Portuguese stopper Rolando is on the verge of joining Inter from Porto, claim Sky Sport Italia.
The two clubs have agreed a loan deal for the 27-year-old who spent the second half of last season at Napoli.
The defender is expected to touch down in Italy on Friday for his medical.
New Inter boss Walter Mazzarri knows the individual well given that he was in charge of Napoli during 2012-13.
The Portuguese international, though, was used in just nine games at the Stadio San Paolo by the tactician.
Serie A new boys Sassuolo have confirmed an interest in Juventus-owned full-back Reto Ziegler.
“We like Ziegler,” sporting director Nereo Bonato noted. “We are looking to add a left-sided player to the squad.
“The Swiss could be the right man to bring in, but our problem is that his salary is too high for us.”
The former Sampdoria defender earns €1.5m a season in Turin.
He was signed by the Old Lady on a free transfer in 2011, yet he has never played an official game for the Turin side.
He has spent the last two seasons out on loan at Fenerbahce and Lokomotiv Moscow. Torino have also been linked with the 27-year-old.
Juve could reportedly send him on loan to Sassuolo, paying a part of his salary in order to make the move happen.
Genoa are targeting a move for Real Zaragoza defender Alvaro, according to reports in the Italian Press.
Respected journalist Gianluca Di Marzio has insisted that the Grifone are set to make an offer for the Spain U21 international within the next few days.
Los Blanquillos are willing to sell the 23-year-old, but for no less than €4m.
President Enrico Preziosi will reportedly try and negotiate with the Liga club later on this week.