Career
He was selected in the 4th round of the 1989 National Hockey League Entry Draft, 65th overall, by the New York Islanders and played 97 National Hockey League games with the Islanders, Edmonton Oilers, Chicago Blackhawks and Los Angeles Kings, as well as multiple seasons with various minor league teams. Following his retirement, Grieve served as an assistant coach with his hometown Oshawa Generals for the 1997-1998 season.