Republic of Ireland captain Seamus Coleman was happy to leave Copenhagen with a point but admitted to frustration with the need for a fightback to fire the Irish attack.
A couple of dangerous free-kicks and James McClean chances aside, Mick McCarthy's side were on the back foot for large periods of the 1-1 draw in Parken Stadium.
Then, when facing defeat in the face following Pierre-Emile Hoejbjerg's header, the visitors started to grow into the game.
Alan Judge replaced Robbie Brady and Ireland began to look more composed on the ball and willing to attack.
While happy with the conclusion, Everton full-back Coleman told RTE Sport's soccer correspondent Tony O'Donoghue that this attitude needs to be evident throughout matches.
"Bit disappointed it took us going behind to start playing a little but, as individuals - I have said it before - we need to take a little bit more responsibility on the ball. When people look for the ball we need other people look for it as well," said Coleman.
"We need to improve on that because when we went 1-0 down and started playing we were very good, so going forward we need to definitely improve on that."
Coleman's fellow full-back Enda Stevens agreed with his captain's assessment, saying the team 'got a lift' from going a goal down.
"They're a good team and they had a lot of good spells in possession and they play between the lines really well.
"We hung in there and were disappointed to concede and we kind of got a lift from that when we went one goal down and started getting on the front foot and pushing them back and Duffs came up with a great goal."
Coleman praised Duffy's equaliser but had a little jibe at the Danes for allowing Ireland's setpiece dangerman to get a connection on Judge's delivery.
"I read somewhere that they were talking about that might be the only chance we would have of getting a goal tonight, well they did not work on it too much because he got a great header on it and a great cross from Judger."