The president of the Caledonian Union party Daniel Goa has expressed hope protesting truck drivers can exit the unresolved conflict over nickel exports with their heads held high.
He was speaking at the start of mediation efforts in New Caledonia's capital, Noumea, on Tuesday.
Schools have reopened and traffic is moving again after the carriers' blockades were lifted on Monday.
Miners and nickel carriers have been calling on the New Caledonian government to allow exports of ore to China after a decline in exports to Australia.
Mr Goa made a call for genuine discussions on local radio.
More talks are expected on Thursday.