In 2011 she founded Endemi, an art magazine about Icelandic contemporary art. Lilja has exhibited in Iceland and abroad, including solo exhibitions If your colors were like my dream at Rawson Projects (New York, 2015), The And with Jacqueline Falcone B&B (Miami, 2015), It’s Not You, It’s Me with Þula Gallery (Reykjavík, 2022), and Hlutskipti // Fated with Þula Gallery (Reykjavík, 2024). Lilja presented artwork at NADA New York art fair in 2015. Lilja’s mixed media artwork includes photography, performance, video art, sound art, and installations. Lilja was the author of The Vessel Orchestra, the opening act for the Reykjavík Arts Festival in collaboration with the 15 captains of the Reykjavík Harbour in May 2013. Lilja’s photographic work includes images for musicians Damien Rice and Sigur Rós. Lilja is a founding member of Fischersund perfumery art collective and is the brand ambassador while heading up creative collaborations. Lilja lives and works in Reykjavík, Iceland.