Robbie Keane's first-half goal in Paris had sent Wednesday's World Cup qualifying play-off second-leg match into extra-time, but in the first period, Thierry Henry handled in the box to set-up William Gallas to head home the winner.

Ireland and Brady have been left seething with the decision to allow the goal to stand.

"From the 120 minutes, they [Ireland's players] deserved to win and it is a shameful day for football when something like that happens," Brady told Sky Sports News.

"When it comes to the crunch, the big teams always seem to go through. With the draw, they were wanting Portugal and France to go through and they did."

The former Arsenal midfielder then added on BBC Radio Five Live: "I wouldn't blame Thierry Henry for what went on. I would maybe look at what happened three months before and the fact that these seedings for the play-offs were made to favour the bigger teams. I would ask why that went on.

"The pressure on referees is enormous then. The pressure is too much to bear and I thought the referee up until then had refereed the match in fine fashion, but he succumbed under pressure."

Brady added: "I asked Thierry Henry after the game and he said 'I handled it but I didn't mean it.' When you look at the film I think he kept the ball in play and he meant it. I wouldn't go down the road of (calling it) cheating, the players seek every advantage they can.

"But I would ask FIFA, 'Do we want to play the match again?' We would go to Paris and play again. I don't think it would come to that but we would be willing to go to Paris, on their home ground, and have a fair winner."