Benneteau breezed past Matthew Ebden 6-2, 6-2 without facing a break point. Benneteau lost nine points in his eight games serving, winning nearly 80 percent of the points on serve. He also took 26-of-51 of the points when Ebden served.
Benneteau converted both of his break chances, dropped two points on serve and won 70 percent of the points overall in winning the first set.
Monday's other match went the distance, with Lukas Rosol emerging with a 7-6 (7-5), 4-6, 7-6 (7-1) victory over Joao Sousa. Rosol had one break in each set.
World No. 5-ranked Juan Martin del Potro is the top seed for the Apia International and unseeded Bernard Tomic is the defending champion.
The event and the Heineken Open in New Zealand are the final ATP tournaments ahead of the start of the Australian Open next Monday.