Authorities have come under increasing pressure to find the killers of David Miller, 24, and Hannah Witheridge, 23, whose battered bodies were found on a beach nearly three weeks ago.
Scores of police officers have been deployed to the popular resort island to solve the case with DNA samples collected from hundreds of residents and several people questioned, but no arrests have been made so far.
"Three Myanmar migrant workers have been detained on the suspicion they may be involved in the murders of the tourists," Kiattipong Khaosamang, police chief of southern Surat Thani province, told AFP.
"He (one of the detained men) gave very useful information to us," deputy national police chief Jakthip Chaijinda told AFP by telephone, but would not confirm that police had extracted a confession of murder.
Both police officials said they were waiting for DNA test results from the three Myanmar men.
Thai authorities frequently accuse migrants from Myanmar and Cambodia of committing crimes in the kingdom, where they make up a vast, poorly-paid and low-status workforce.
"Police have collected DNA samples from hundreds of islanders but the process takes time for testing... Officials must be careful not to arrest scapegoats," Kiattipong said earlier.
Earlier national police chief Somyot Poompanmoung, who departed from Bangkok today for a visit to Koh Tao, said they were very close to making an arrest in a case which the government has pushed authorities to solve quickly.
Yet there have been several accusations -- led by the British media -- of a bungled investigation.
Critics have said police chased the wrong leads, failed to lock down the island and poorly secured the crime scene in the hours after the badly beaten bodies were found on 15 September.
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