[3][4] She took part in the Women's World Chess Championship 2000, where she was eliminated in the second round by the eventual winner, Xie Jun.
Matveeva reached the second round again at the Women's World Chess Championship 2004, losing this time to Nataša Bojković.
[6] Matveeva made it to the quarterfinals in the Women's World Chess Championship 2006: she knocked out sequentially Irina Vasilevich, Karen Zapata, Subbaraman Vijayalakshmi, and Marie Sebag, then lost to the eventual winner, Xu Yuhua.
In the Women's World Chess Championship 2008 she knocked out defending champion Xu Yuhua in the second round, then she lost to Anna Ushenina, thus exiting the competition.
She competed in the Women's World Chess Championship 2012, where she was knocked out in the first round by Natalia Pogonina.