The world governing body ruled that the result cannot be changed and the match cannot be replayed.
FIFA said in a statement: "FIFA has today 20 November 2009 replied to the request made by the Football Association of Ireland (FAI) to replay the 2010 FIFA World Cup play-off match held on 18 November 2009 between France and the Republic of Ireland in Paris.
"In the reply, FIFA states that the result of the match cannot be changed and the match cannot be replayed. As is clearly mentioned in the Laws of the Game, during matches, decisions are taken by the referee and these decisions are final."