 Nyora kupfuurira kweiyi ndima - Galkin akakunda 1999 World Junior Chess Championship. Kukunda uku kwakamuita kuti akwanise kupinda muFIDE World Chess Championship 2000. Pano akakunda Aleksandar Wohl mumutambo wokutanga uye akabva arasikirwa naAlexander Beliavsky mumutambo wechipiri, nokudaro achibva mumakwikwi. Galkin akakwikwidza muFIDE World Championship zvakare muna 2004; nguva ino akabviswa mumutambo wokutanga naAleksander Delchev. Makore matatu gare gare, Galkin akabatanidzwa muFIDE World Cup; pano akakunda Mateusz Bartel mumutambo wokutanga uye akarasikirwa naVassily Ivanchuk mumutambo wechipiri. Muna 2011, Galkin akatamba muRussia Championship Superfinal. 