[1] He represented Russia in two editions of the Olympic Games (2000 and 2004), and later capped off his wrestling career with a bronze medal in the 60-kg division at the 2005 European Championships in Varna, Bulgaria.

He lost his opening match 5–10 to North Korea's Kang Yong-gyun, but vowed his own revenge to tame three-time Olympic veteran Marian Sandu of Romania by a rigid 11–8 verdict.

Earlier in the process, he finished fourth at the Olympic Qualification Tournament in Novi Sad, Serbia and Montenegro to guarantee his spot on the Russian wrestling team.

[4][5] Unlike his previous Olympics, Shevtsov dominated the prelim pool with a pair of remarkably strong victories over neighboring China's Ai Linuer (4–2) and Germany's Jurij Kohl (7–0) to secure him a place for the medal rounds.

Shevtsov challenged against reigning Olympic champion Armen Nazaryan of Bulgaria for the bronze medal, but quickly fell behind him by a single-point deficit with a 3–4 decision, dropping the Russian to fourth.