The qualification process began the China Open event, which is being held at the Guangzhou University Town Sports Centre.
Markovic would prove the best of the qualifiers in the women's event, ending in front of her team-mate Vita Lukan.
Lukan won the bouldering event at the Buenos Aires 2018 Youth Olympic Games last month, but ultimately took silver in the combined competition.
She will hope to impress further as the competition continues in China.
France's Mawem Mickael finished top of qualification in the men's competition, having achieved five tops.
He was followed by Ukraine's Sergii Topishko, while Hong Kong's Cheung-chi Shoji Chan rounded off the top three.
Qualifications just ended at the 2018 China Open in Guangzhou. Vita Lukan excelled in Bouldering with 5 tops and will join fellow @youtholympics @BuenosAires2018 stars Keita Dohi and China's own YuFei Pan in semi-finals tomorrow! Rules and results: https://t.co/svbj0O7i3d pic.twitter.com/VcUCMrF9z7— IFSC (@IFSClimbing) November 16, 2018
Semi-finals are set to take place tomorrow in bouldering.
Indonesia's Alfian Muhammad and Sari Agustina topped the men's and women's speed qualification standings to progress in impressive fashion.
Seven women achieved a top in the women's lead qualification, with South Korea's Chon Jong-won led men's qualifying.
Several top climbers received byes through the first stage of the event.
Competition will continue tomorrow at the event, which is being held by the Chinese Mountaineering Association.