Asphol, who started for the Kleive IL club, competed in his first World Cup competition on February 9, 1980 in Saint-Nizier . Already in his first competition he managed to win five World Cup points with 11th place. On March 9, 2008 he came in 8th place in Vikersund . At the ski flying world championship in 1981 in Oberstdorf , he was sixth. After a 14th place in St. Moritz , a 6th place in Engelberg and a 9th place in Sapporo , he finished his first World Cup season in 1980/81 in 60th place overall. The 1981/82 World Cup season began just as successfully. He was able to achieve 5th place in the overall tournament ranking at the Four Hills Tournament in 1981/82 . In Bischofshofen , he achieved the only podium finish of his career with 2nd place. Although he did not do any more jumping in the season after the tour, he finished it in 28th place in the overall World Cup ranking. In the 1983/84 season he started in a total of three competitions and reached a place in the top ten. After the season he ended his active ski jumping career with a 34th place in the overall World Cup ranking.