Prime Minister Henry Puna and deputy prime minister Teariki Heather were out of the country last week and returned back home over the weekend.
Puna was in New Zealand to attend a special dinner arranged to honour tertiary graduates of the Cook Islands in Auckland on Friday last week.
The prime minister accepted the invitation to speak at the third event held under the auspices of Kia Rangatira, an organisation formed by well-known Cook Islanders academic and leaders in New Zealand.
Heather was away overseas on a personal medical trip.
The focus this week will be the Te Mato Vai select committee meeting to look into the grievances raised by the petitioners regarding the $60 million project.
The meeting which gets underway today will be headed by committee chairman Mark Brown.