 Bunce was on trial at Scottish Premier League side Dundee United in late January 2007, and despite being expected to join the Terrors, joined Coventry City instead.Bunce failed to make an appearance for City and was told in April 2007 that he was free to leave the Ricoh Arena at the end of the season.Bunce played for the New Zealand U-23 and made 29 appearances for the New Zealand national football team, the All Whites from 1998, scoring 2 goals.,

His last appearance was on 24 March 2007 when the All Whites endured an embarrassing 4–0 loss to Costa Rica.