 Svidler akakwikwidza mumakwikwi matatu eWorld Championship: munguva ine zita rakakamurwa FIDE World Chess Championship 2002 na2005, uye mushure mekubatanidzwazve World Chess Championship 2007. Akatambawo mumakwikwi matatu eVakatsvaga, muna 2013, 2014 na2016. Mhedzisiro yake yakanaka padanho iri yaive yechitatu muna 2005 na2013. 