Published Tuesday, 17 April 2012
Paddy Barnes closes in on London 2012 place (© Pacemaker)
Barnes, who won Olympic bronze in Beijing in 2008, is taking part in the AIBA Olympic qualifier event in Turkey.
It is the final qualifier for the London games for male boxers in Europe.
Barnes forced the referee to stop the bout in the second round, despite a difficult start in Trabzon.
Ungvari enjoyed a 4-2 lead at the end of the first round in the light-flyweight showdown.
But an impressive second-round response from Barnes kept his Olympics hopes alive.
The Commonwealth and former European champion needs one more victory on Wednesday to confirm his place at the London Games.
He said: "It was good to get the first fight out of the way; it felt brilliant. It was also good to get the first win and get back on track. He ran and ran but once I got him into the corner he was nearly crying. He was winching, and I knew he wanted out of there."
He added: "I was probably too eager to go after him in the first round. Everything is 100 per cent, and I am really fit. I am looking forward to the next fight. I don't know who I will be fighting; but he will have to be worried."
Meanwhile Belfast heavyweight Tommy McCarthy takes on Umit Patir of Hungary on Wednesday, and needs to win to make the Games.
Belfast flyweight Michael Conlon has already qualified for the Games, along with middleweight Darren O'Neill and bantamweight John Joe Nevin.