Kammala jumla mai zuwa: A 2012 Welsh Open ya ga Burns ya cancanci zuwa gasarsa ta biyu, yayin da ya doke Jack Lisowski 4<unk>1 kafin ya karbi tafiya saboda janyewar Jamie Cope. A babban wurin da ke Newport, ya yi rashin nasara a cikin 32 na ƙarshe zuwa gwarzon duniya na 2010 Neil Robertson 1 <unk> 4. Burns kuma yana da kyakkyawar kakar wasa a cikin ƙananan wasannin Players Tour Championship, tare da mafi kyawun kammalawa yana zuwa na biyar
Gasar Zakarun Turai, inda ya doke Marcus Campbell da Liang Wenbo, amma sai ya yi rashin nasara a kan Ding Junhui a wasan kusa da na karshe. Ya kuma kai wasan karshe na 16 a wasu wasanni guda biyu wadanda suka taimaka masa ya gama 35 a kan PTC Order of Merit, a waje da manyan 26 da suka cancanci zuwa wasan karshe. Burns ya doke Joel Walker 10<unk>8 a zagaye na farko na Gasar Cin Kofin Duniya, amma lokacinsa ya ƙare lokacin da Yu Delu ya ci shi 2<unk>10 a zagaye na gaba. An ba Burns kyautar Rookie na Shekara