He hit his first Test century in the following series in Pakistan. New Zealand needed to win or draw the Third Test at Dacca to give the country its first overseas series victory against any opponent. Burgess hit 59 in the first innings. After losing eight wickets for 101 in the second innings New Zealand was only 84 ahead and apparently heading for defeat, but Burgess scored 119 not out, in an eventual total of 200, putting on 96 for the ninth wicket with Bob Cunis. According to Wisden Burgess "gave a magnificent display" over four and a quarter hours.