The Education City Stadium in Al Rayyan, where the World Cup opener was played, was filled with loud fans.
The Danes were not given a easy time in Group D.
Both goals were ruled out for being in the air.
In the 95th minute, Cesar Ramos checked the pitchside monitor to see if he had made a mistake in his original decision.
If the Danes are to qualify from a tricky looking group, they will need to find some form.
The Danes rode a crest of emotion to the Euro 2020 semi-finals after Christian Eriksen had suffered a cardiac arrest in their opening match, and had nine wins out of 10 in World Cup qualification.
Tunisia were unperturbed by their reputation and, perhaps inspired by Saudi Arabia's stunning win over Argentina, they made it difficult for the Danes.
The video assistant referee suggested a penalty check after the ball hit the arm of Yassine Merriah, but the referee thought the call was correct.
Ramos had earlier decided that a similar incident at the other end against the same player was not a penalty.
At Euro 2020, the Danes were called the "underdog". This was a hard 90 minutes and they will need to go through the gears to progress in this tournament.
It will only get harder for Hjulmund's side when they play France on Saturday.
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