The men in race to replace Trap
Already there are a number of possibilities to take over as Irish boss, with most of the names being suggested having strong Irish connections.
Former Sunderland boss O'Neill is available after being shown the door at the Stadium of Light in March. The 61-year-old Derry man has already been installed as the bookmakers' favourite, although it is understood he had not been contacted before Tuesday's 1-0 defeat at the Ernst Happel Stadion.
The Leeds United boss has previously stated his long-term ambition to manager Ireland one day. The former Reading manager is English born, but his mother is from Clare and father from Sligo. He guided the Royals into the Premier League and has a strong coaching reputation.
It was McCarthy who took Ireland to the 2002 World Cup finals in the Far East, where then skipper Roy Keane's differences with the Republic set-up infamously came to a head. The current Ipswich boss had more than six years in charge of the country for which he played, and like O'Neill, the 54-year-old would enjoy popular support if he was appointed. However, a clause in his Ipswich deal, allowing him to take the job for free, is believed to have expired.
For many, Keane would be the perfect man to shake things up with his no-holds-barred approach to the game. Currently working as a television pundit, the 42-year-old Corkman cut his teeth as a manager at Sunderland, winning promotion to the Premier League at the first attempt, and later guided Ipswich to the semi-finals of the League Cup. His relationship with the FAI is bound to work against him.
The 54-year-old remains a hugely popular figure in Ireland, for whom he won 53 senior caps. An accomplished coach, he has established an enviable reputation as a manager after first stepping into the limelight at Newcastle, whom he guided back into the Premier League following relegation, and has impressed at both Birmingham and current club Norwich since.
Sven Goran Eriksson
The Swede was a relative success on the field with England, but his off-field antics attracted plenty of attention from the British press during his time in charge. Currently managing Guangzhou R&F in China.
The legendary former Manchester United boss retired at the end of last season and could fancy a part-time gig to keep the flame alive. A long shot, but he'd be a popular choice.