Ramba uchinyora ndima iyi - Davis akakwanisa kupinda mumutambo weMasters wa2013 pamusana pemamiriro ake ezvinhu achimuita kuti apinde mumakundano gumi nematanhatu. Pakutanga kwake kupinda mumutambo kwemakore gumi nematatu akatarisana nenhamba yepasi rose yechipfumbamwe Mark Allen mumutambo wekutanga uye akarasikirwa 2<unk>6. Izvi zvakatanga kuderera kwechimiro chaDavis sezvo akarasikirwa mumutambo wekukwanisa weWelsh Open, mutsara wekutanga weWorld Open nePlayer Tour Championship Finals uye mumutambo wechipiri weChina Open
. Zvisinei, akanga achiri 16th munyika panguva kucheka-kubva nokuda 2013 World Championship, asi akamanikidzwa kuva vanokodzera nokuda nyika nhamba 28 uye kutonga shasha Ronnie O'Sullivan kusarudza kudzivirira zita rake pashure kutora gore kure nyanzvi snooker. O'Sullivan naizvozvo akanga ari nhamba imwe mbeu, zvichireva kuti Davis akadonha kunze kwepamusoro 16 avo vakanga vavimbiswa nzvimbo muchiitiko chacho. Davis akakunda Liang Wenbo 10<unk>6 mukukwikwidza. Akatarisana nemakwikwi mana John Higgins mumutambo wokutanga uye akawana kukunda kwakanakisisa kwebasa rake nekukunda 10 × 6 uye akatamba Stuart Bingham mumutambo wekupedzisira we16. Mutambo wacho wakava wakaoma zvikuru, asi kubva pa10 kusvika ku10 Bingham akabvisa kuti akunde 13<unk>10 naDavis achitaura pashure kuti akanga aita zvakanaka kuti akunde mafuremu gumi zvakadai kwaiva kuodzwa mwoyo kwake nenzira yaakaita nayo. Zvisinei, akapedza mwaka ari pakati pevanhu 16 vokutanga kwenguva yokutanga, ari nhamba 13 yenyika.