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In the 1500 metres event he finished fourth and in the 5000 metres competition he finished sixth.
In the 1500 metres event he finished fourth and in the 5000 metres competition he finished sixth.
He never finished within the podium overall. In 1951 he was fourth at the European Championships and sixth at the world championships.
Asplund specialized in long distances and won medals in the 5000 and 10000 m at European and world championships. Nationally he won nine Swedish titles: 1500 m (1951–1953), 3000 m (1951–1952), 5000 m (1951–1952) and 10,000 m (1951, 1953). In 1953, he won the discontinued Nordic championship, having finished second in 1951.