Everton and Newcastle are leading the push for the Big Six to be punished by the Premier League for seeking to join the defunct European Super League.
While both clubs are lobbying for points deductions on the grounds that fining a club owned by a billionaire would be an empty gesture, there is an acceptance among the other clubs that such a sanction is not practical as it would lead to a lengthy legal battle.
The Premier League Board are considering their options and are under pressure to get the matter resolved before the clubs' end-of-season shareholders' meeting next month.