Asmund and his wife Frøydis visited Duluth many times.  Asmund played a very key role in the restoration of the Leif Erikson. He worked with his brother Kirsten Petersen~Øverlier and restoration project volunteers, to ensure that the work was done in the proper manner, using the authentic ways and supplies to rebuild it in the fashion in which the ship was originally constructed. Much of his correspondence indicated the interest that he and the people of Norway had in keeping the ship from disrepair, and to preserve it for historical and heritage purposes.