A Euro 5 million loan given to the Football Association of Ireland by Fifa was accounted for in the association's financial statements, the FAI said last night.
FAI chief executive John Delaney had come under increasing pressure to explain the loan granted by Fifa in the wake of French player Thierry Henrys handball in 2009.
The handball effectively scuppered the Republic's chances of qualifying for the 2010 World Cup.
Taoiseach Enda Kenny yesterday described the payment as "quite extraordinary" and called on Mr Delaney to answer questions about the circumstances surrounding it.
Mr Kenny said: "I would say that any questions that need to be answered here in the interests of transparency and accountability ... John Delaney should answer and will answer all of those questions, I'm quite sure."
The FAI last night issued a statement, clarifying the events that led up to the Euro 5 million loan.
"This is also being done to demonstrate that the Board of the Association acted at all times in the best interests of Irish football, and in full compliance with Irish company law," the statement read.
It said in the wake of the handball row, and following negotiations between the FAI and Fifa, world soccer's governing body offered a Euro 5 million interest free loan by way of compensation as well as a $400,000 Goal Project grant that was used for FAI regional football centres.
A financial agreement was drawn up on January 15 2010 and the money was lodged in the FAI's bank account on January 20 2010.
The FAI said the loan was "accounted for in the 2010 audited financial statements, under bank and other loans".
The money was used to help pay for the new Aviva stadium in Dublin.
The FAI said the loan was reduced to Euro 4 million in 2011 - a figure that was reflected in its accounts.
"In 2013, the remaining Euro 4m was reduced to nil as a result of non-qualification for the World Cup South Africa in 2010 and the World Cup Brazil in 2014. This was subsequently confirmed in writing by Fifa on June 13, 2014," the FAI said.
Earlier, the Republics assistant manager at the time of the play-off, Liam Brady, called the payment "mind-boggling" and said neither players not staff were aware it had been made.
Legal experts claimed yesterday that as on-pitch decisions are at the discretion of the referee, the FAI could not have presented a legal case over the handball.
On Thursday, Mr Delaney said the FAI believed there were "grounds for a legal case" following the Republic's controversial defeat to France in the play-off.
Mr Delaney had said there were "some expletives used" in his meeting with former Fifa president Sepp Blatter in January 2010, two months after the match.
He said: "We came to an agreement. That was a Thursday and on Monday the agreement was all signed and all done. Its a very good agreement for the FAI and a very legitimate agreement for the FAI."
The loan Euro 5 million, according to the FAI, and US$5 million according to Fifa formed part of an agreement that the FAI would not initiate legal proceedings over the outcome of the play-off.
According to Fifa, the money was due to be reimbursed if the Republic qualified for the 2014 World Cup, but the global football body wrote off the loan in December last year. However the FAI said it was written off in 2013 and officially confirmed in June 2014.
