Come the 23rd minute and PNG had their second try when five-eighth Kyle Laybutt jinked and danced his way across the defensive line 10 metres out before crashing right of the uprights to score.
PNG went down to 12 men with 12 minutes to go in the first half when prop Mackenzie Yei was sin binned for a dangerous tackle.
Wasting no time capitalising on the extra-man advantage, the Cook Islands found an overlap on the left side and halfback Esan Marsters saw the chance to get winger Paul Ulburg over the line with quick hands and bring the score 10-8 at the break.
Kicking off the second half, it was Yei looking to make up for lost time, charging right through the Kukis defensive line off the kick off and surging upfield before finally being caught by Kayal Iro.
Yei's barnstorming hit up gave PNG position the field position they needed and skipper Rhys Martin finished off the set, spinning over the line from close range to ground the ball.
The Kumuls went further ahead early in the second half when South Sydney star Alex Johnston beat multiple defenders to find Tai inside who touched down for a double.
Come the 57th minute and Melbourne Storm centre Justin Olam created something out of nothing for the Kumuls, breaking the line and getting an arm free to offload to Lachlan Lam, who runs in to score and extend PNG's lead 26-8 with the kick.