[1] Along with her husband Terje Rød-Larsen, Juul played a key role in the 1990s Oslo Accords—pivotal agreements on Middle East peace.

[2][3][4][5] Juul and the rest of the Oslo team of facilitators focused on the conflict between Israel and the PLO, knowing that a peace agreement would have to be created by the adversaries themselves and that a group acting as mediator would be vital in making appropriate arrangements for negotiations.

From 2005 to 2010 she served as a deputy director and ambassador in the Norwegian delegation to the United Nations in New York City.

[7] She presented her credentials to UN Secretary General António Guterres on 14 January 2019, and assumed office the same day.

[8] As permanent representative, she notably spearheaded the successful Norwegian campaign for a seat at the UN Security Council for the 2021–2022 term.