Gureň played as a youth within a professional club, PSG Berani Zlín of the Czech Extraliga.

After his second professional season in the ELH in 1994–95, Gureň was selected by the Montreal Canadiens in the third round, 60th overall, of the 1995 NHL Entry Draft.

Gureň made his NHL debut with the Canadiens in the 1998–99 season, playing against the New York Rangers at the Molson Centre on October 10, 1998.

Unable to secure a regular spot on Montreal's blueline, Gureň played the majority of his tenure in the AHL.

Gureň ended his professional career following the 2014–15 season in the Italian Serie A, however, opted to continue playing through to 2019 at the Czech Regional level with a local club, HC Uherské Brod.