Her debut collection of poetry, Blálogaland (Land of Blue Flames) was published in spring 1999, followed the year after by Hnattflug (Circumnavigation), which was voted best poetry book of the season by staff-members of Icelandic bookstores, and then in 2007 by Blysfarir (Torch Marches), which was nominated for the Nordic Council’s Literature Prize. Her first novel, Sólar saga (The Story of Sun), received the Tomas Gudmundsson Literary Prize 2002. The prize is granted every other year by the Mayor of Reykjavik. Þrastardottir’s poetry has been translated into several languages and published in Germany, Sweden, and Italy. A bilingual collection of her poems in Icelandic and English (translated by Bernard Scudder), To bleed straight, was published by Forlagið in 2008. Her newest book of poems, Brúður (Bride/Dolls), was published in 2010.