Bondra played one season for HK Poprad in the lower ranks of Czechoslovak league competition, and transferred to VSŽ Košice in the First Division at the age of 18. His older brother Juraj also played there on defense, having already won one championship title with the team the year before. As early as his second season with Košice, Peter was considered one of the top shooters in the Czechoslovak league, and won the league championship together with his brother in 1988.