The Danes moved up to 12 points alongside group leaders Ireland, who drew 0-0 away to Georgia, while Switzerland are four points off the pace but with a game in hand.
Speaking ahead of Wednesday’s Premier League Manchester derby, Solskjaer warned United that City would press hard and foul them in areas of the pitch where they were less likely to receive yellow cards.
Salah returned to scoring form with an outstanding solo run and finish as Liverpool recovered from falling a goal behind to beat Southampton 3-1 at St Mary’s and move two points clear of Manchester City.