Located between China and India, Thailand was influenced by these two great cultures. It is very likely that Chinese medical philosophy and India's yoga tradition influenced their practice of massage.

My training was in traditional Thai massage at Wat Po, the famous Thai massage school in Bangkok, afterwards I then became apprentice to a Thai massage master in northern Thailand.  

Traditional Thai Yoga Massage – A leading example of excellence in holistic bodywork
In the West, massage tends to focus on physical structures, such as muscle, tissues and joints. Its approach, while often beneficial, is primarily mechanical, with each problem being addressed separately. Thai Yoga Massage on the other hand treats the body as a whole. Structural posture, energy flow throughout the body, as well as energy lines and points, are all treated together.