Rubuta ci gaba don wannan sakin layi - Ilinykh / Zhiganshin sun fara kakar su a Mordovian Ornament, wanda suka ci nasara tare da sabbin abubuwan da suka fi dacewa a duk sassan. Don kakar Gasar Grand Prix ta 2015-16, an sake sanya su a gasar cin kofin China da Rostelecom Cup. Sun lashe tagulla a gasar cin kofin China a bayan Italiya Anna Cappellini / Luca Lanotte da Amurkawa Madison Chock / Evan Bates. Gasarsu ta gaba sun gama na 5 a gasar cin kofin Rostelecom ta 2015. A ranar 24-27 ga Disamba, Ilinykh/Zhiganshin ya yi gasa a Gasar Rasha ta 2016
, inda suka gama na 4 a bayan Alexandra Stepanova / Ivan Bukin bayan sun zama na huɗu a cikin gajeren rawa da na biyu a cikin rawa kyauta.