Pedzisa mutsara unotevera: Muchiitiko chechipiri chepamusoro chemwaka, Burns akakunda Ryan Causton 5<unk>3, Chen Zhe 5<unk>2, naMatthew Selt 5<unk>2 kuti vakwanise kuenda kunhanho huru ye
Australian Goldfields Open, yakaitirwa muBendigo.&lt;ref name="2013/14"&gt;&lt;/ref&gt; Akatamba nhamba yepasi rose mbiri Mark Selby mumutambo wekutanga uye akatungamira mutambo 3<unk>0, Selby asati aenzana pa 3<unk>3. Burns akakunda mufananidzo unotevera uye aiva nemikana yakawanda yekuchengetedza kukunda kunotyisa asi pakupedzisira akakundwa 5 <unk> 4. PaWelsh Open akahwina 4-3 kukunda Yu Delu, asati arohwa 4-2 naMatthew Stevens mumakumi matanhatu nematanhatu. Mumakwikwi madiki eEuropean Tour, Burns akadonhedza mafuremu maviri chete mukukunda mitambo mina kuti asvike kumaquarter-fainari eKay Suzanne Memorial Cup, kwaakarohwa 4<unk>2 naJamie Jones. Burns akapedza mwaka kunze kwepamusoro makumi matanhatu nematanhatu munzvimbo dzepasi rose izvo zvingadai zvakadzingwa kubva parwendo, zvisinei nekuiswa 44th paEuropean Order of Merit akagamuchira imwe yenzvimbo sere kuti awane kadhi rekushanya kwemakore maviri emwaka wa2014-15 na2015-16 yaive inowanikwa kune vasiri vatambi vanokodzera.