Møller has over 40 years of experience as an international civil servant in the United Nations System, serving in different roles in New York, Iran, Mexico, Haiti and Geneva.

He was enrolled at the European campus of the Paul H. Nitze School of Advanced International Studies, in Bologna, Italy.

After the UNHCR, Møller went on to hold various roles within the United Nations System, in Iran, Mexico, Haiti, Cyprus, New York and Geneva.

Because he is convinced that the conference is capable of moving forward on multilateral disarmament, Møller has often expressed disappointment with the body's failure to forge a substantive consensus over the past two decades.

[16] According to Møller, Geneva not only brings to bear an unprecedented wealth of technical expertise and institutional know-how, but is also uniquely suited to forge the kinds of partnerships needed to reach the SDGs.

[18] To that end, Møller established in December 2016 the SDG Lab,[19] a unit within his office to support the range of stakeholders in Geneva working to advance the 2030 Agenda by further leveraging their "expertise and knowledge into policy, practice and action".

[20] According to the SDG Lab website: "The Lab works with a diverse ecosystem of actors that are focused on delivering the SDGs and identifies strategic opportunities for convergence in order to energize and maximize the added-value of International Geneva in supporting implementation of the SDGs, including but not limited to United Nations & Intergovernmental Organizations, Member States, Civil Society and NGOs, Academia, and the Private Sector".

"[22] To help convey the impact and relevance of the work done in Geneva, Møller launched the Perception Change Project[23] in his office in 2014.

[27] This is particularly vital at a time when the Palais des Nations is one of the busiest conference centres in the world, hosting or supporting over 12,000 meetings every year.

On 1 July 2015, Møller teamed up with US Ambassador Pamela Hamamoto and Caitlin Kraft-Buchman, executive director of Women@TheTable, to launch the International Geneva Gender Champions, a leadership network committed to accomplishing meaningful change in the pursuit of gender equality.

[30] His mother tongue is Danish and he speaks fluent French, English, Spanish, German, Italian and Greek.