He last played for Tappara in the Finnish SM-liiga. This was his third stint with the club. He first joined the club in 1992, when he left Lukko Rauma. In 1994, he left them for the AHL club St. John's Maple Leafs, which was the affiliate team of Toronto Maple Leafs who drafted Grönvall in the 1992 NHL Entry Draft. After two season in North America and zero games in the NHL Grönvall moved back home to Finland and Tappara. This time he stayed with Tappara until 2003 when he signed with Swedish Elite League team Färjestad BK. After two seasons and two runners-up medals in Sweden with Färjestad Grönvall decided once again to move back home and once again signed with Tappara. He eventually ended his career playing for Krefeld Pinguine in the German DEL league.