"We have expressed our willingness to return him...He will be returned very soon," Home Secretary Mozammel Haque Khan told reporters after meeting his Indian counterpart Anil Goswami.
His comments came a day after the official-level meeting of the two countries decided that Chetia would be returned under a special mechanism beyond an existing extradition treaty.
Bangladesh Home Ministry Additional Secretary Kamaluddin Ahmed had yesterday said that extradition of Chetia has nothing to do with the case of Bangladeshi absconder Nur Hossain, the prime suspect in a multiple-murder case, who was arrested by West Bengal police recently.
He said the Indian side assured them to take steps for his immediate extradition.
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The long-pending issue of the detained ULFA leader was earlier discussed during External Affairs Minister Sushma Swaraj's Dhaka visit in June this year.
India had pressed for Chetia's deportation as he has already expressed his desire to return.
The ULFA's founder general secretary was arrested in Bangladesh in 1997 and is under detention on completion of his seven-year jail term for cross-border intrusion, carrying fake passports and illegally keeping foreign currencies.
On the ratification of Land Boundary Agreement (LBA), the Bangladesh Home Secretary said that in the meeting, the Indian side informed that its Parliamentary Affairs Committee is preparing a bill to be placed before the Rajya Sabha.
He said the two countries are also likely to sign a Memorandum of Understanding (MoU) to prevent cross-border human trafficking particularly of women and children once the Indian Cabinet approves it.
On the smuggling of fake Indian currency from Bangladesh, he said, "We told them we are looking into the issue seriously."
In the meeting Bangladesh also asked India to ensure "zero killing" on borders by BSF by arresting the intruders instead of shooting them.