Last month, 'Akilisi Pohiva pulled out of hosting the 2019 event, initially citing financial reasons but then saying his government had other priorities.
He remained steadfast in his stance even when the regional Pacific Games Council met with him to allay his concerns.
Now MPs Lord Nuku and Vili Hingano have tabled a parliamentary motion in the hope Mr Pohiva will change his mind, according to a report by RNZI.
Mr Hingano said it was also tabled for the government to explain its stance and give valid reasons.