The Inter Milan president blasted referee Piero Giacomelli for denying his side a penalty in the 2-2 draw with Cagliari, going on to imply that some officials appear to be giving certain clubs preferential treatment.
Juventus - who were implicated in the Calciopoli scandal of 2006 - took the bait and issued a brief rebuttal of Moratti's veiled accusation, but Galliani has offered a more thorough explanation of Milan's stance on the matter.
He told the Corriere dello Sport: "I don't talk about the Juventus situation but I have to underline that in the Milan derby, we were the ones that were done an injustice. Everyone complains when bad things happen to them but they never speak up when they're done favours.
"What can we do to limit errors? There is no solution, referees will make mistakes. Last year we were on the receiving end of a lot of mistakes, and complained, but not this much."
It has been a season of struggle for the Rossoneri but Galliani believes an impromptu training-ground visit from club president Silvio Berlusconi spurred the players on to come from behind and secure a 2-2 draw at Napoli on Saturday.
"Berlusconi was happy with the performance and I've asked him to visit Milanello before every game," Galliani joked.
"I'd really like it if he could cancel his Christmas plans to spend the whole time with us."
Galliani may have been caught on camera screaming obscenities when goalkeeper Christian Abbiati let Gokhan Inler's opener squirm underneath him, but the Milan chief was quick to play down reports of any ill-feeling between the two.
"I brought him here from Monza when he was 21," Galliani said.
"When I'm in the stands I'm like a fan, I sing and I get angry.
"I told Abbiati that and he started laughing, and he even told me he was offended by the goal he'd let in.
"That's the end of it, what more can I do?
"Should I keep my hand over my mouth so I can get protect myself from the television cameras when I get angry?"