Tuesday night's resounding defeat to Denmark has left Ireland manager Martin O'Neill's future in doubt.
Martin O'Neill has been made odds-on to leave his job as Republic of Ireland manager before Christmas.
O'Neill's side failed to qualify for next summer's World Cup in Russia having been beaten 5-1 by Denmark at the Aviva Stadium on Tuesday.
Having secured a scoreless draw in the first leg in Copenhagen at the weekend and then taken an early lead through Shane Duffy's header, Ireland's capitulation has sparked reports that O'Neill - who only agreed a new, two-year deal in recent weeks - could leave his role as manager.
Ladbrokes are quoting odds of 3/4 that he will leave the job before Christmas, with his assistant manager Roy Keane 2/5 to follow suit and leave the national team set-up.
After the game, the 65-year-old said he planned to hold talks with FAI Chief Executive John Delaney.
"I thought there was an agreement. I'll speak to [FAI chief] John Delaney - I've not spoken to him since we spoke about the new contract," said O'Neill.
Alex Apati of Ladbrokes said: "Ireland's World Cup exit has left our traders anticipating a swift O'Neill exit, with an outside chance of him swapping Dublin for Merseyside in the coming weeks."
With Everton currently without a manager since the sacking of Ronald Koeman, Ladbrokes have placed the Derry native - who has also managed the likes of Leicester City, Celtic and Aston Villa - as a 25/1 outsider to take over at Goodison Park.
