 Nyorai kuenderera mberi kweiyi ndima - Akasvika kumaquarter-fainari eMutambo weNyika kanokwana katatu 2002, 2004 uye 2007, asi vasina kusvika padanho rekupedzisira. Muna 2002, akarasikirwa ne 613 kune akazopedzisira akunda Peter Ebdon. Muna 2004, akaita maviri akateedzana kuti abve pa 02 pasi kusvika pa 22 mumakwikwi ake ekupedzisira achipesana nemukundi Ronnie OSullivan, asi pakupedzisira akarasikirwa nemutambo ne 313. Pfungwa 438 dzaHamilton dzakapinzwa mumutambo uyu inhoroondo yakaderera yeWorld Championship Quarter-final. Iye anewo akakwirira zvikuru nguva dzose mapoinzi akazara mumutambo wekutanga-kutenderera paCrucible, 1271 achipesana naChris Small muna 1999, kunyange akarasikirwa nemutambo uyu 910. Muna 1997 akasvika padanho rechipiri; akatarisana naJohn Parrott padanho iri akawana 414 zvisina kupindurwa mapoinzi mufuremu 15, asi achiri kurasikirwa nemutambo ichi ndicho chechipiri-chepamusoro nhamba yezvisina kupindurwa mapoinzi munhoroondo yeCrucible; rekodhi yakagadzwa naJohn Higgins achipesana naHamilton mumutambo wechipiri muna 2000. Hamilton haana kuita zvakanaka mumakwikwi e2006 World Championship, achirasikirwa 110 mumutambo wokutanga kuna Mark Williams. Zvisinei, mwaka miviri yakasimba yakava nechokwadi chokuti akawanazve nzvimbo yepamusoro 16. 