 Nyorai kuenderera mberi kweiyi ndima - Mhedzisiro yake yepamusoro mumwaka uyu yaive kuoneka kwemakota ekupedzisira ku2001 Irish Masters ichirasikirwa naOSullivan. Haanawo kukwanisa kupinda muWorld Snooker Championships mumakore maviri akatevera. Davis akakundikana kukwanisa kupinda mumakwikwi e2001 World Snooker Championship, nguva yokutanga yaakanga asina kuonekwa pamutambo uyu mushure mokunge atanga mumutambo we1979. Akarasikirwa naAndy Hicks mumutambo wokupedzisira wekukwanisa 610. Pashure pokurasikirwa, akafunga nezvokurega basa, asi akati chaizova chinhu chakareruka kuita. Sezvo akanga achiri kunakidzwa dambudziko nyanzvi kutamba akaramba kupinda 2001 02 snooker mwaka uye akasvika Semi-fainari 2002 LG Cup uye kota-fainari 2003 Irish Masters anotevera mwaka. Zvisinei, Davis akakundikana zvakare kupinda mu2002 World Snooker Championship, ichirasikirwa naRobin Hull mumutambo wokupedzisira wokukwanisa 810. 