The Rossoneri's CEO has insisted the club is capable of challenging for the title and having an extended run in Europe.
Milan finished third in Serie A last season following a miraculous recovery in the second half of the campaign while it also reached the last 16 of the Champions League, eventually being defeated by Barcelona.
But Galliani says it is vitally important it finishes in the top three again and is hoping for an extended run in the Champions League.
“The last season was a difficult one for us,” he told reporters. “We had a rough start but a beautiful final stretch. So we go into the new season without any psychological issues.
“Our goals are to get back into the Champions League, to try and go as far as possible in that competition and win the Coppa Italia. To finish first, second or third is crucial. Everyone knows that the economic advantages of the Champions League are huge.”
Galliaini also revealed Milan is still in talks with Santos over the transfer of Robinho. The Brazilian has been linked with a move back to his homeland but no deal has been finalized yet.
Milan is looking to acquire the services of Fiorentina's Adem Ljajic and CSKA's Keisuke Honda as replacements for the 29-year-old.
“Negotiations are underway with Santos," Galliani said. "The boy [Robinho] wants to go home."
“There are still some things to be sorted out though.
“Ljajic? There have been some rumors, and I will not deny it," he said. “Honda? We hope to get him to Milan in January.”