FIFA President Gianni Infantino called for an automatic penalty for matches for teams whose fans commit racist abuse.
It comes after incidents he described as “absolutely abhorrent” at Udinese and Sheffield Wednesday on Saturday.
Milan's win over Udinese was briefly suspended after allegations of racist abuse by home fans towards Milan goalkeeper Mike Maignan.
Casey Palmer, from Coventry, said he had received similar abuse in Hillsborough.
Infantino said In a post on X There should be harsher penalties.
“In addition to the three-step process (stop the match, re-stop the match, cancel the match), we must implement automatic confiscation of the team whose fans committed racism and caused the match to be abandoned, as well as the World Stadium. Bans and criminal charges for racists,” he said.
“FIFA and football show their full solidarity with the victims of racism and any form of discrimination. Once and for all: No to racism! No to any form of discrimination!”
He added: “The events that took place in Udine and Sheffield on Saturday are abhorrent and completely unacceptable. The players affected by Saturday's events have my full support.”
“We need all relevant stakeholders to take action, starting with education in schools so that future generations understand that this is not part of football or society,” he added.
AC Milan players walked off the field after French international goalkeeper Maignan reported hearing “monkey noises” coming from a section of the crowd at Friuli Stadium. The players eventually came back and Milan won 3-2.
“This should not exist in the world of football, but unfortunately this has been repeated for many years,” the 28-year-old told Milan TV.
“With all the cameras and penalties for these things, something needs to be done to change things.
“We all have to respond, we have to do something because you can't play like that.”
Both Milan and rival Inter have publicly supported Minyan, with the Italian League saying it “condemns all forms of racism”, while French striker Kylian Mbappe said “enough is enough”.
Former England and Arsenal striker Ian Wright praised the “solidarity” in the Milan squad and urged teams to “keep pulling back” when they hear abuse and called for tougher sanctions.
The accident involving Palmer occurred during… Coventry won the Championship 2-1 over next-bottom Sheffield Wednesday It led to the match being stopped for several minutes while the match referees spoke to the technical directors.
He confirmed on Wednesday that this gesture was made by someone in the stands, and that anyone “proven guilty” would face “the harshest possible penalties.”
But Palmer expressed doubt that things would change in the game, also writing on X: “Racism is a disgrace… it has no place in the world, let alone in football.
“I'm black and proud and I'm raising my three kids to be just like them. I'll be honest, it seems like things will never change, no matter how hard we try.”
“[A] Husband [of] Fans doing monkey chants do not define the fandom – I appreciate all the love and support I have received.”
Anti-discrimination charity Kick It Out has also offered its support to both Palmer and Maignan.
He added in a statement: “It is up to the authorities and clubs to punish those responsible, but if the clubs cannot prevent this from happening, they must also face consequences.”
He added: “We welcome stronger and more meaningful sanctions, as called for by FIFA.
“The players cannot solve this problem. We wish that were not the case, but they are already showing courage in the face of extreme distress and emotional trauma. They need support with actions, not words.”