Tapai played 52 games (37 'A' games) for the Australian national team between 1986 and 1998. He was part of the Australia squad that claimed 2nd place at the 1997 FIFA Confederations Cup. Australian manager Terry Venables received criticism for bringing on Tapai in the 1997 World Cup Qualifier against Iran. Australia needed a goal and Tapai was not the man many viewed as being a viable attacking option.