Representing Russia at the 2015–16 Luge World Cup, Repilov placed second in the sprint event in Calgary with a time of 30.279.

[2] Later in the same season, he triumphed in the men's singles event at Park City, Utah, came in second twice, in Winterberg, Germany and Sigulda, Latvia and won two men's singles sprint events in Park City and Sigulda.

During the 2017–18 Luge World Cup season Repilov triumphed at Lake Placid and in doing so shattered the track record which had just been set first by his teammate Semen Pavlichenko the previous day and again by the American slider Tucker West in the previous heat of the finals, with a time of 50.875 seconds.

Repilov was joined on the podium by Pavlichenko, who took the silver, and West, who took home the bronze.

[6] During the 2018–19 Luge World Cup Repilov achieved back to back podium finishes first in placing second in Calgary in the men's singles[7] and then in Lake Placid in successfully defending his 2017–18 triumph there in the men's singles event and also claiming victory in the men's sprint singles event.