Everton chief executive Keith Wyness has launched a scathing attack on Europe's top clubs in the G14 group.
G14 represent Europe's top 18 clubs
Arsenal, Liverpool and Manchester United are all members of the 18-strong group, but Wyness said that Everton will not be joining.
He told BBC Radio Five Live: "It is a very dangerous group motivated by greed and self-interest and I think it is very damaging to football.
"There seems to be some sort of secret handshake to get into it."
Earlier on Sunday Manchester United chief executive David Gill rejected suggestions that Europe's top clubs want to break away from Uefa and form their own league.
And Wyness added: "It's a self-appointed group that doesn't cover the voices of the clubs.
"David Gill has already said that there are no clear membership rules at all and I just think it's dangerous to try and polarise the game even further.
"You can be satisfied under the current groups of Uefa and the Premier League. I think we should keep those bodies and respect them."
But Liverpool chief executive Rick Parry played down the criticism of the G14.
He told Five Live's Sportsweek programme: "It is not a dangerous group at all, there's nothing wrong with the major clubs exchanging views on common interest.
"Getting into Europe is easy, all you have to do is win football matches."