Lluy came through the Racing Club youth development system to make his debut in the Avellaneda derby aged 19. He came on as a second-half substitute on 21 February 2009 in the 2-0 away defeat to Independiente. He made his first start for the club on 4 April 2009 in a 1-0 home win against River Plate. During the Apertura 2009 he featured in the majority of the club's games. On August 24, 2013 Lluy signed with Greek side Asteras Tripoli a two years' contract.