Markovic majored in social sciences from the upper secondary school Brännkyrka Gymnasium in 1982, and received her degree from the University of Stockholm in business economics in 1986.

Following the UN Climate Summit in September 2014, she resigned from her role as co-chair of the CCAC to resume her "day job" as Sweden's ambassador to the OECD and UNESCO in Paris.

[6] The CCAC has decided to increase the scope of its initiatives in the areas of agriculture, methane reduction in the oil and gas industry, alternative refrigeration, cleaner transportation, and municipal solid waste management.

On 31 August 2018, she concluded her tenure as an ambassador for OECD and UNSECO, and be reappointed as the Permanent Representative to the Organisation for the Prohibition of Chemical Weapons and to the International Criminal Court in The Hague 2018 to 2021.

[10] On 16 September 2021, Ghada Waly, the Director-General of the United Nations Office at Vienna (UNOV), received the credentials of Markovic, the newly appointed Permanent Representative of Sweden.

The goal of the conversation, which was Ambassador Markovic's first chance to speak with the Defence Minister since accepting her position in the Diplomatic Service, was to examine potential avenues for future bilateral collaboration between the two nations.

[14] The outgoing Markovic was awarded the Order of Sikatuna with the title of Datu (Grand Cross) by the President in recognition of her excellent and sterling service as her nation's envoy in the Philippines.