Rubuta ci gaba don wannan sakin layi - Burns ya taka leda a matakin wuri na wasanni shida a cikin kakar 2015/16, mafi yawa a cikin shekara guda na aikinsa har yanzu. Ya lashe wasanni uku don buga gasar Australian Goldfields Open
kuma ya doke Xiao Guodong 5<unk>3 a zagaye na farko wanda ya gan shi yana wasa a cikin 16 na ƙarshe na taron martaba a karo na biyu, amma ya rasa 5<unk>2 ga Judd Trump. A Paul Hunter Classic ya yi nasarar cin nasara a kan Ryan Causton, Sanderson Lam, Martin O'Donnell da Thor Chuan Leong don shiga wasan kusa da na karshe, inda Mark King ya ci shi 4<unk>0. &lt;ref name="2015/16"&gt;&lt;/ref&gt; Mako guda daga baya ya doke King 6<unk>2 don samun cancantar zuwa Gasar Cin Kofin Duniya, amma ya rasa 6<unk>3 ga Mark Williams. Burns ya ga Aditya Mehta 5<unk>1 da John Higgins 5<unk>3 don yin wasan farko a Masters na Jamus kuma Michael Holt ya fitar da shi 5<unk>4 a zagaye na farko. Taron karshe na Burns wanda ya cancanci wannan kakar shine China Open kuma, bayan ya zo ta hanyar zagaye na wildcard, ya yi farin fata Peter Ebdon 5<unk>0, kafin ya rasa 5<unk>3 ga Stuart Bingham. Burns ya kai zagaye na karshe na neman shiga gasar cin kofin duniya, amma Ebdon ya ci shi da kashi 10. Matsayinsa na ƙarshen kakar wasa na 62 shine mafi girma a cikin aikinsa har zuwa yau kuma a karon farko yana cikin manyan 64.