Tourists have been advised not to across the border into Burma at the Three Pagodas Pass in Kanchanaburi in the wake of a hostagetaking incident at the weekend.
A man from Arakan State who has been imprisoned in Thailand and China for illegal entry faces similar charges in Burma after crossing the border at Muse in Shan State.
Thai and Burmese authorities will begin checking documents of refugees residing in Thailand to pave the way for their repatriation.
Refugee advocacy networks say it will be a lost opportunity for Suu Kyi, who could have met with refugees and camp leaders to discuss their return to Burma.
Many are still reluctant to leave, but after 30 years of displacement, refugees living in camps in Thailand are beginning to see the possibility of returning to their homeland.
Nearly 60 people lost their homes and all of their possessions in a fire at the Umphiem refugee camp on the Thai-Burmese border.