At the 1988 Olympics in Calgary, Medvedtsev, competing for the USSR, won two silver medals in the 10 km sprint and the 20 km individual, and also gold medal in the relay. At the 1992 Olympics in Albertville he won a silver medal in the relay competition for the Unified Team.
At the 1988 Summer Olympics in Calgary, Medvedtsev of the Soviet Union took home two silver medals in the 10 km sprint and the 20 km individual events, along with a gold medal in the relay race.  He also won a silver medal in the relay competition at the 1992 Winter Olympics in Albertville as part of the Unified Team.