Alexandersson took silver and bronze when the World Cup in sports was decided in Andorra in March.
In ski alpinism, the competitors, with skins under the skis, first climb mountains via a cut track and then go downhill.
The 28-year-old Alexandersson has 15 World Cup golds in orienteering on the merit list.
At the recent World Cup in the Czech Republic, she became the first ever orienteer to take five golds at the same championship.
Regular orienteering has applied to become an Olympic sport without success.
SVT Sport has sought Tove Alexandersson.