Vanuatu's Clement Mainguy won the opening rubber 6-4, 6-4 before the Northern Marianas' Colin Sinclair also won his rubber in straight sets.
The doubles pairing of Gillian Osmont of Tahiti and Brett Baudinet of the Cook Islands defeated their foes for a 3-0 win.
It was a partnership with a vast gulf in experience - Osmont was making his Davis Cup debut, Baudinet was playing in his 61st Davis Cup tie.
Pacific Oceania next play the United Arab Emirates, which lost its first match to Saudi Arabia.
