French Polynesia's opposition Tahoeraa Huiraatira wants the territory to be free of people who are classified as Islamic radicals and under police surveillance.
The party has lodged a resolution in the territorial assembly to ask France to ban the entry of any such individuals into French Polynesia.
It also wants France to immediately move the three men classified as extremists who are serving prison sentences in Tahiti to a jail in France.
The party wants France to extend the state of emergency declared after last year's terror attacks in Paris to also cover French Polynesia, warning that all needs to be done that radicalism won't get established in the territory .
It said it is worried about the situation because it has the potential to be disastrous for the tourist industry which relies on Tahiti being seen as a safe destination and it hopes the assembly will vote for the motion unanimously.