Hannes Haldorssonm countered a header from a corner by Danish defender Simon Kjaer, but it bounced off Sigurjonsson and crawled over the line on a half-time stroke to bring the Danes ahead, as Denmark secured a win over Iceland with 3-0.
Skov added a brilliant third on the hour mark with a curling shot and in the first minute of the second half, playmaker Eriksen broke free from his own half to make it 2-0.
The result put Denmark third in Group 2 on four points, three behind England’s leaders, who came back from a goal to win Belgium 2-1 at Wembley in second place.
Having scored only once and lost nine goals, Iceland is at lowest of the group with no points, after three games.
Iceland – Denmark 0-3
Goals: Sigurjonsson 45-o.g, Eriksen 46, Skov 61.