Several of the fugitives are sought for 1971 war crimes and killing the country's founding father Bangabandhu Sheikh Mujibur Rahman along with most of his family members in 1975.
"Law minister Anisul Huq will lead the 10-member task force," a cabinet division notification said here.
It said the other members of the task force include the foreign minister, state minister for home, the attorney general, inspector general of police, Directors General of Forces Intelligence (DGFI) and National Security Intelligence (NSI) and secretaries of home, law and foreign affairs.
A cabinet division official preferring anonymity said even if any convicted Bangladeshis were found to have obtained nationality of any other country, the task force would devise ways for their return to be exposed to justice.
Among the fugitives, six are ex-army officers who were sentenced to death for the August 15, 1975 coup in which Bangabandhu was killed along with most of his family members. had Dhaka earlier launched a diplomatic campaign, engaging the Interpol, to bring them back.