Giga Tkhilaishvili played for Batumi RC in the Georgian championship. After some strong performances, he was called by the U20 national team to play the JWRT. Few months later he joined the 2011 champion of Georgia, Armia Tbilisi. He made his debut for Georgia national team against Ukraine in June 2012. In October, he had a one-month trial for the Premiership's side Leicester Tigers, after a prior trial with Northampton. He impressed in defense with Leicester A in the A-League, but his inability to speak English and his absence from international matches led to him not receiving a long-term contract.