Tahiti's Heve Kelley defeated Yacoub Makzoume 6-3 1-6 6-2 in the opening singles rubber in Colombo before Colin Sinclair from the Northern Marianas sealed the result, beating Kareem Al Allaf 6-4 6-0 in his debut match.
The doubles pairing of Brett Baudinet and Aymeric Mara were unable to complete the clean sweep, losing in three sets.
Hosts Sri Lanka also made a winning start in Pool A, beating Jordan 2-1, while Lebanon and Qatar had 2-1 victories over Turkmenistan and the United Arab Emirates.