The HC bench of Justice FRM Nazmul Ahasan and Justice KM Kamrul Kader is scheduled to hear the writ petition, said petitioner Md Emdadul Haque, a Supreme Court lawyer.
The writ also sought legal action against the fraud travel agencies and human trafficking gangs, and a report within 30 days on human trafficking as published by different newspapers.
Home, foreign, expatriates' welfare and overseas employment, and law secretaries, Inspector General of Police, and police supers of Sylhet and Noakhali have been made respondents to the writ filed on Sunday.
The petition also appealed to the court to issue a rule seeking explanation as to why the action of the authorities concerned to take action against the fraud travel agencies and human traffickers should not be declared illegal and why directives should not be given to take actions against them.
On May 9, at least 65 migrants, including 37 Bangladeshis, drowned when their boat capsized in the Mediterranean Sea off the Tunisian coast after they had left Libya hoping to reach the Europe.