[5] Dreaming (2008), for which Thorvaldsdottir received the 2012 Nordic Council Music Prize,[1][3] was premiered by the Iceland Symphony Orchestra and Bernharður Wilkinson on 14 January 2010.

AERIALITY (2011) was an important work for catapulting Thorvaldsdottir's orchestral writing into the interest of American orchestras.

[6] It was selected as a top 10 recording in 2014 by The New Yorker's Alex Ross,[18] and by John Schaefer for WNYC's New Sounds Year in Review.

[19] The New York Philharmonic's Kravis Emerging Composer Award,[20] and the associated commission of METACOSMOS (2017), premiered on 4 April 2018 under the baton of Esa-Pekka Salonen at Lincoln Center's David Geffen Hall, cemented Thorvaldsdottir's status as “one of the most unique and expressive voices in the compositional scene today.”[21] The European premiere was given by the Berliner Philharmoniker under Alan Gilbert.

The work was premiered by the BBC Philharmonic under Eva Ollikainen on 11 August 2022 at Royal Albert Hall.