Dabinyaba got things going firing through Toti's first points in the 10th minute.
The lead was increased to 3-0 after Gunemba and Tutizamo Tanito found the back of the nets.
The Cook Islands side reduced the deficit to 3-1 just before half time through a penalty goal that came in stoppage time.
Toti City dominated the second term with three more goals to Gunemba and another to Dabinyaba to set up a comfortable win.
Tupapa again scored in the dying minutes with a goal to Maro Bonsu-Maro.
Next up for Toti City in the Pool A fixtures is Ba FC. The match will be played on February 13 at Korman Stadium.
(File picture)
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