Republic of Ireland remains unbeaten in competitive matches under coach Giovanni Trapattoni.
“The main aim was not to lose so we are pleased with the point,” said Dunne.
“It was a good way to end the season and we can go into the new one full of hope about making it to the finals.”
“Unfortunately, when we scored we sat back a bit and they got the goal quickly enough,” Dunne continued.
“They really needed to win so they were always going to come at us and everyone just dug in a defended really well.
“I was delighted to get the goal. John O’Shea blocked Berbatov and it was a free header.”