Against a backdrop of raucous noise provided by the thousands of Tunisian fans in the stands, Issam Jebali had a goal ruled out for offside in the 23rd minute but it was Denmark who provided most of the attacking football in the first half.
Tunisia won at the World Cup for the first time since 1978, beating Panama 2-1 in their final World Cup Group G match on Thursday.
The sight of Tunisia defenders wrestling England's Harry Kane to the ground in the penalty area without punishment during Monday's World Cup Group G match has raised more questions about the worth of the Video Assistant Referee (VAR).
England manager Gareth Southgate may be recovering from a dislocated shoulder suffered while jogging, but he may run into more discomfort when deciding whether to drop Raheem Sterling for Marcus Rashford in Sunday's World Cup game against Panama.
Olympiakos Piraeus battled back from a two-goal deficit to earn a 2-2 home draw with last year's runners-up Tottenham Hotspur in their Champions League Group B opener.
A summary of Tuesday's matches in the UEFA Champions League.
Images from the UEFA Champions League matches played on Tuesday.