Burmese officials say they will continue to explore for oil and gas in areas of the Bay of Bengal that Bangladesh claims as its territory.
A senior Foreign Ministry official told reporters there there is no reason to stop the exploration, since the area is located in Burma's exclusive economic zone.
Bangladesh's Additional Foreign Secretary, M.A.K. Mehmood, says Burma should halt all activity in the Bay of Bengal.
Bangladesh Foreign Secretary Toheid Hossain will travel to Burma Wednesday to hold talks with officials in a bid to defuse the dispute.
On Sunday, Bangladeshi foreign secretary summoned Burma's ambassador to Dhaka to protest the reported intrusion.
The Bangladeshi navy has also sent vessels to patrol the area.
Over the past year, the two sides have held talks to resolve their dispute over their maritime boundary, as well as possible energy cooperation.
The area of the Bay of Bengal is believed to have abundant reserves of oil and gas.
Earlier this year, Dhaka auctioned off offshore oil and gas exploration blocks to international oil companies.
Bangladesh is facing a gas shortage, and has not made any new gas discoveries since the late 1990s.