Rated as one of Georgia's biggest talents,[1][2] Salia made his professional debut for Dinamo Tbilisi on 24 November 2023, in a 2–2 Erovnuli Liga draw against FC Torpedo Kutaisi.[3] In the following 2024 season, the 16-year-old regularly featured in the starting team of his club. Salia scored his first goal in the Georgian top flight on 10 March 2024, against Torpedo Kutaisi. He scored the winning goal as Dinamo ran out 1–0 winners.[4]
On 29 October 2024, Dinamo Tbilisi and Newcastle United announced that they had agreed a deal for the transfer of Salia in the summer of 2025 when he turns 18.[5][6]