As a player, he played in the position of defensive midfielder for TPV Tampere, FF Jaro, HJK and Tampere United in Finland, Molde, Lillestrøm and Moss in Norway, before joining Stockport County in England for a £350,000 transfer fee, as well as for Hibernian in Scotland.

When playing for HJK, Wiss represented the club in the 1998–99 UEFA Champions League group stage.

On 29 October 2010 it was announced that Wiss had succeeded the longtime head coach Ari Hjelm at Tampere United.

[3] On 6 November 2015 it was announced that Wiss is taking the head coach position at Ilves starting on 1 January 2016.

[4] On 23 September 2022, Wiss signed a contract with Inter Turku as a manager for 2023 and 2024 seasons, with an option for an additional year.