[4][5] He stood with Darrell Hair in the Boxing Day Test between Australia and Sri Lanka at the Melbourne Cricket Ground in 1995, in which Hair no-balled Muttiah Muralitharan for throwing.
[6] Dunne was criticised for failing to back Hair by similarly calling no-ball later in the match when Muralitharan bowled from Dunne's end, but he later defended himself, saying that the decision was too difficult to make on the field, and that he backed a previous decision to refer a bowler with a suspect action to the International Cricket Council for further investigation.
In 2001, he and Doug Cowie reported Shoaib Akhtar after an ODI in at Carisbrook in Dunedin.
[7] He stood in four matches in the 1996 Cricket World Cup, including the semi-final between India and Sri Lanka at Eden Gardens in Calcutta, which was abandoned due to the rioting crowd after India lost their eighth wicket chasing the Sri Lankan score.
[9] His 100th ODI was the match between New Zealand and England at his home ground in Dunedin on 26 February 2002.