Rubuta ci gaba don wannan sakin layi - Čmilytė-Nielsen ta yi gasa a Gasar Cin Kofin Duniya ta Mata a karon farko a 2000, lokacin da ta kai zagaye na uku. A shekara ta 2004 an doke ta a wasan kusa da na kusa da na karshe da tsohuwar Gwarzon Mata ta Duniya Maia Chiburdanidze. A shekara ta 2006
, Čmilytė-Nielsen ta kai wasan kusa da na karshe kuma ta yi rashin nasara a hannun Alisa Galliamova. A shekarar 2008 da 2010 an fitar da ita a zagaye na biyu, yayin da a shekarar 2010 da 2015 ta fita a zagaye na uku.