Their first round game was played over three days due to heavy rain which has dogged play on the hard surface in Pattaya and again made the court unplayable for periods of the morning.
Tournament late-entry Hantuchova survived a second set scare from rank outsider Olga Puchkova and eventually won 6-1, 3-6, 6-0.
In the final first round match, seventh seed Elena Vesnina beat Greek challenger Eleni Daniilidou 6-2, 5-7, 6-2.
They join Russian second seed Maria Kirilenko, Romanian Sorana Cirstea and Japan's Kimiko Date-Krumm in the second round.