However, Trapattoni agreed that the outcome was a "fair result".
"I knew before the game that the opponent was very, very hard," added Trapattoni.
"I told the players to be careful and in the first half they were a little bit stronger than us.
"But we were very well organised. We have a good defence and we played without a little mistake.
"In the second half, we controlled the game better, we grew in confidence and the players understood what I said to them, that it was possible to lose and they should run down the clock if they could."
With a bit more calmness, we would have won the game
Trapattoni praised Shay Given's crucial late saves as the home side pressed hard to claim victory.
"Shay Given made a big save when the ball deflected off another player.
"But we controlled the game and we had two or three very good opportunities to score a goal, and with a bit more calmness, we would have won the game.
"But I can't expect too much from what I saw tonight."
Trapattoni did add that his team should have been awarded a penalty after Radoslav Batak appeared to handle Stephen Hunt's cross.
"On the pitch I wasn't sure, but now I have seen it on
television, it was a penalty.
"But we have to be happy. It is an important result."
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