Darren Randolph led the way on a night where four Boro players represented their countries.
Once more Ireland were indebted to their Player of the Year as they took a valuable and well-deserved point in a European Championships qualifier in Copenhagen.
In opposition were a Denmark side who have lost just once in 18 home games and one that contained Martin Braithwaite.
Randolph, having produced a smart save to keep out a Christian Eriksen free-kick early in the game, twice saved comfortably from his Boro teammate who went on to clear the bar with a good chance just past the hour.
That was the last of the action for the striker who was replaced a few minutes later.
Randolph continued to enhance his reputation, but could nothing as a Pierre-Emile Jojbjerg flew past him with 75 minutes played - the first international goal conceded by the Boro 'keeper in seven hours 48 minutes of international football.
Another header, this from Brighton's Shane Duffy, five minutes from time ensured Ireland maintained their unbeaten start to their campaign. Mick McCarthy's side sit top of the table and take on bottom team Gibraltar in Dublin on Monday night.
Enes Mahmutovic was an unused sub as Luxembourg surrendered an early lead to draw 1-1 against nine-man Lithuania in a qualifier in Vilniaus. The result leaves Luxembourg second in the table behind a Ukraine side who beat Serbia 5-0. The top two meet in L'viv on Monday night.
Marcus Tavernier played the full 90 minutes as England U20s threw away a lead and end the Toulon Tournament with a third straight defeat. Arsenal's Joseph Willock put England into the lead six minutes into first-half injury time.
It was a lead that lasted until an own-goal leveled the game on 87, with Chile grabbing the winner two minutes into added on time.