Sources said BJP told the Bangladesh Foreign Minister that the North-East region and the Indo-Bangla border area is a sensitive region and the party cannot make any promises without looking into the details.
The main opposition has reportedly conveyed to Moni that BJP will discuss the issue within the party forum before taking any decision on the matter.
A constitution amendment Bill is likely to be introduced in Parliament on the issue in the coming monsoon session ratify the LBA.
BJP, along with AGP, had thwarted a government attempt during the last budget session to move the Bill seeking ratification of the agreement.
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Prime Minister Manmohan Singh had called a meeting with the top BJP leadership to discuss this issue more than a year ago. However, no consensus had emerged in the meeting.
BJP has often raised a hue and cry over alleged changing of the demographic profile of Assam, West Bengal and other states due to illegal immigration from Bangladesh.