Svilder is a 7 time Russian Chess Champion (1994, 1995, 1997, 2003, 2008, 2011, 2013.) He also has represented the Russian Olympiad team 10 times helping his team win the gold medal in his first five appearances. By winning the 2011 Chess World Cup, he qualified for Candidates stage of the 2013 World Championship cycle. In that event, Peter soundly defeated the eventual World Champion, Magnus Carlsen. Svilder is also world-renowned chess commentator.