The team was edged 31-24 by Tasman two weeks ago, in their first competitive match in three years, and outclassed 73-0 by the New Zealand Under-20s side on Saturday.
Meanwhile, an understrength 'Ikale Tahi suffered back-to-back defeats against Manu Samoa in their World Cup qualifier.
Cook Islands coach Nathan Robinson is a former Cook Islands international himself and said the squad has come a long way in the last few weeks.
"The cohesion has been really really good from day one," he said.