As the club secured promotion the next season, on 3 March 2019 he made a debut in the top national division and scored the only goal of the match against Dila.
[2] This year Museliani took part in all league games save for one, which he had to miss out on due to suspension.
With such achievement Museliani became Georgia's second top-league player after Gia Jishkariani and the first Erovnuli Liga footballer.
[6] In early 2024, he signed for South Korean side Gyeongnam FC,[7] although after a half season moved to Bosnian club Velež.
[8] On 6 January 2025, Cypriot First Division side Enosis Neon Paralimni announced the signing of Museliani.