Defending champion Heather Watson took just one hour and 13 minutes to beat Brazilian Teliana Pereira at the Hobart International.
Watson, the world number 53, won 6-3 6-0 and will now face Romanian fourth seed Monica Niculescu in round two.
But British number one Johanna Konta is out after a first-round defeat by Slovakia's third seed, Dominika Cibulkova.
Konta lost 7-6 (8-6) 7-5 after failing to convert five first-set points.
"It doesn't happen every day that you win a tie-break from 1-6 down against such a good serving player," said Cibulkova, 26.
There were no such problems for Watson, 23, as she served seven aces in a dominant win against the world number 46.