During her time, she served as a member of the Icelandic delegation to the Parliamentary Assembly of the Council of Europe.

Additionally, in 1988, she received a Master of Arts in Development Economics at the University of Sussex in Brighton, England.

The party's main goal was listed as using legislation to achieve equality, solidarity, and a common welfare base.

[9] Lilja, as stated in her resignation speech, soon took up a position at Østfold University College in Norway.

[10] They have a son together named Jón Reginbaldur, who graduated from the KTH Royal Institute of Technology in Stockholm with a master's degree in engineering.