Luján competed in the Women's World Chess Championship 2004 where she was eliminated by the eventual runner-up Ekaterina Kovalevskaya in round one, the Women's World Chess Championship 2006 where she was eliminated by tournament runner-up Alisa Galliamova in round two, the Women's World Chess Championship 2012 where she was eliminated by Anna Zatonskih in round one, and the Women's World Chess Championship 2015 where she was knocked out by Alisa Galliamova in round two.