Glenn Skram completed his first more successful competitions in the B-World Cup of Nordic Combined in 1993. In the course of his career, he was able to win a Gundersen competition in Klingenthal in the 1993/94 season and the overall ranking in the same year. On March 19, 1994 Skram made his debut in the Nordic Combined World Cup in Thunder Bay, Canada . His best result in the World Cup was a fifth place, which he achieved on January 18, 1995 in Vuokatti .