Luján has represented Argentina, on board one of the women's team, in seven Chess Olympiads from 2002 to 2014. Her best results were at the 35th Chess Olympiad in Bled in 2002, where she scored 8½/13 and finished 11th, and the 40th Chess Olympiad in Istanbul in 2012, where she scored 6/9 with a performance rating of 2455, to finish 13th on board one.