Home Minister Rajnath Singh is leading a nine-member Indian delegation at the meeting, which began around 10:30am at Bangladesh’s Ministry of Home Affairs office. His counterpart, Asaduzzaman Khan, is heading a 15-member Bangladeshi delegation.
The chiefs of police, the Coast Guard and RAB and the DMP commissioner and top officials from various law enforcement agencies are also attending the session.
They will also discuss how to improve connectivity between the two countries.
The ministers are likely to sign a revised travel agreement to ease the visa processing system between India and Bangladesh.
The last meeting between the Home Ministers was held at New Delhi in July 2016. During the meeting the two discussed various aspects of the bilateral relationship and how to strengthen them.
The Indian Home Minister was welcomed at the Ministry of Home Affairs on Sunday morning by his Bangladeshi counterpart and presented with flowers.
Rajnath Singh arrived in Dhaka on Friday for a three-day official visit. He met with Prime Minister Sheikh Hasina at Secretariat on Saturday morning. Later he inaugurated India's largest visa centre at Jamuna Future Park.
He also inaugurated the Bangladesh-India Friendship Building at the Bangladesh Police Academy in Rajshahi, Sardah.