After another 1-1 earlier in the day, in the other game in the group, three points would have been enough for Southgate’s side to confirm first spot.
That will still be secured with victory over Slovenia next Tuesday, while a draw would definitely seal a berth in the knockout rounds.
Denmark need to beat Serbia to make certain of a place in the round of 16 when it begins on 29 June, but a third straight draw would be enough for second if Slovenia lose to England. There is, of course, positions for the four best third-placed teams to take into account, too.