Thailand has faced international condemnation following statements from Rohingya migrants claiming abuse at the hands of Thai authorities before being set adrift far out to sea.
Abhisit did not make any comment on the claims of severe beatings many migrants said they had received from the Thai military.
Human rights groups have accused the Thai armed forces of running a systematic campaign of abuse against Rohingya migrants, forcing them back to sea in boats without engines.
|Abhisit, centre, said he was not clear who had approved the forced deportations [AFP]
Rights groups say hundreds may have died after being set adrift.
The Rohingya are a Muslim ethnic group from north-eastern Myanmar.
They are not recognised as citizens by Myanmar's military government, and many complain of brutal treatment at the hands of Myanmar authorities.
Recent weeks have seen several boatloads of Rohingya migrants found drifting off India's Andaman islands and the coast of northern Indonesia, often after weeks at sea without food or drinking water.
Last week a group of about 200 migrants were found drifting by Indonesian fishermen off the coast of Aceh province.
Many had injuries from severe beatings they said were inflicted by Thai soldiers.
On Thursday Thailand's foreign minister arrived in Jakarta for meetings with his Indonesian counterpart at which the fate of the Rohingya refugees will be discussed.