Fans erupted when the final whistle blew and players hugged with joy after the Irish were victorious in the must-win match.

Denis Mullins, 67, from County Cork, said the result was a miracle and put it down to a mass that was said in Lille a few hours before kick-off.

"Miracle. We weren't expecting it but it came. A man here got a mass said in the cathedral this morning and it obviously worked," he said.

Irish President Michael D Higgins, who was at the game and was said to be dancing in the stands after the goal, said: "Tonight's game was a wonderful achievement and I want to extend my warmest congratulations to the Republic of Ireland team, the coaches, and all those who made this well-deserved success possible.

"All of those interested in soccer will welcome the fact that now both Irish teams have made it through to the knockout stages of the tournament, and remain in contention for the Henri Delaunay cup.

"May I pay tribute to the Irish fans who have earned widespread acclaim for their behaviour in France. Ireland could not wish for better ambassadors abroad."

Lorcan Mullen, 26, from County Tyrone, said: "A night grandas will bore their grandkids about in 50 years, and a perfect performance - guile, physicality and bravery.

"They were against a second string Italy side, but they did us proud. It was electric in there. It still is."

Alan Clarke, 44, who is originally from Dublin but lives in Cologne, said: "Fantastic. Over the moon."

Hannah Dennehy, 28, from Cork, said: "We just can't believe it. We're shaking. Absolutely amazing."

Noel Black, 48, from Dublin, said: "Wonderful. Fantastic. Overwhelming. It's great to be here. Onwards and upwards."

Michael Cawley, 83, from Glasnevin in Dublin, said: "Delighted of course. We were the better team on the day."