Per a 1982 law, the ISO's primary financial sources are the Icelandic treasury (56%), RÚV (Icelandic National Broadcasting Service) (25%), and the City of Reykjavik (18%), with the remaining 1% coming from the township of Seltjarnarnes.
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Sinfóníuhljómsveit Íslands (Iceland Symphony Orchestra) (ISO) is an orchestra based in Reykjavík, Iceland.
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The Iceland Symphony Orchestra has premiered and recorded four of Thorvaldsdottir's orchestra pieces, conducted by Ilan Volkov, Christian Lindberg, Rumon Gamba, Daníel Bjarnason, and Bernhardur Wilkinson.
In November, 2013, Skálmöld played a series of concerts with the Iceland Symphony Orchestra at the Harpa concert hall in Reykjavík.
He has also played as the horn soloist for the Valencia Orchestra, the Symphony Orchestra of the Gran Teatre del Liceu in Barcelona, the Iceland Symphony Orchestra in Reykjavik, the American Wind Symphony Orchestra in Pittsburgh, and the National Orchestra of Mexico.