Lukáš Ševít had his first international appearance at the Junior World Championships in 1999 in Hüttau , where he finished 25th out of 31 rated tobogganers. He made his debut in the World Cup on January 23, 2000 in Gummer , where he finished third from last in 38th place. A week later he started at the 2000 World Championships in Olang , where he came 46th out of 60 tobogganists. At the European Junior Championships held the following week in Umhausen , Ševít came in 29th out of 36 rated tobogganists. At the end of the 1999/2000 season he took part in his second and last World Cup race in Fénis , which he finished penultimate in 26th place. After 2000, Ševít did not take part in any international competitions.
Harald Steyrer, Herbert Wurzer, Egon Theiner: 50 years FIL 1957 - 2007. The history of the International Luge Federation in three volumes . Volume II, Egoth Verlag, Vienna 2007, ISBN 978-3-902480-46-0 , pp. 297-361