2024: Maiden Challenger title In May 2024, Møller reached his maiden Challenger final at the
2024 Schwaben Open, losing to
Timofey Skatov. In August, he made his second final at the
2024 Svijany Open in
Liberec, Czechia but lost to
Hugo Dellien. He reached a new career-high ranking of No. 251 on 5 August 2024. The following week, at the next Challenger, the
2024 Braga Open, after qualifying for the main draw, he went one step further and reached his third final. He won his maiden Challenger title, defeating fifth seed
Daniel Elahi Galán in the final. As a result he reached the top 200 at world No. 169 in the rankings on 14 October 2025. Following lifting his biggest title at a
Challenger 125, the
2025 Open de Oeiras, defeating top seed
Francisco Comesaña in straight sets, Møller reached world No. 114 in the singles rankings on 21 April 2025. Ranked No. 111, Møller made his Grand Slam main draw debut at the
2025 French Open as a lucky loser. Moller also made his debut at the
2025 Wimbledon Championships following the withdrawal of
Casper Ruud. He won his second Challenger title of the season at the
2025 Iași Open and reached a new career high of world No. 102 on 14 July 2025. ==ATP Challenger Tour finals==