Soderling fired 14 aces in defeating Aisam-Ul-Haq Qureshi 6-2, 6-4 and the powerful serve kept him out of trouble throughout the match.
Seventh-seeded Marat Safin, however, was beaten in his second attempt at his 400th career ATP match win. Safin, who is 20-21 on the year, was upset 6-5, 7-6 (7-4) by Philipp Petzschner. Safin owns a career record of 399-242.
Robert Kendrick beat George Bastl 6-3, 7-6 (7-4) and Lukas Dlouhy got past Benjamin Becker, who was the runner-up in Bangkok last year, 6-5, 7-6 (7-4) in other first-round matches.
Also winning Tuesday were Nicolas Mahut, Simon Stadler and Teimuraz Gabashvili.
Stadler's victory earned him a shot at tournament No. 1 seed Novak Djokovic on Thursday.
The 2008 Thailand Open championship is worth $94,000 to the winner.