Born in the Georgian capital Tbilisi, his first professional club was FC Dinamo Batumi.
He first came to international prominence with his performances for the Georgian national team against Kazakhstan in 2013.
The main aim of the role is to create goalscoring chances, suiting a creative player like Elguja Grigalashvili.
Dribbling ability was generally viewed as one of Elguja's strongest attributes and his jinking runs with the ball resulted in some spectacular goals.
Set piece ability is another of Elguja's strengths; he regularly takes corners and free kicks.