Bangladesh's Prime Minister Khaleda Zia is in New Delhi for three days of talks on subjects including cooperation in fighting terrorism.
In her arrival statement she said she is looking forward to "very candid and constructive discussions" that will help improve the content of already cooperative relations.
Officials say Mrs. Zia will meet Indian Prime Minister Manmohan Singh, President Abdul Kalam and the chief of the ruling Congress party, Sonia Gandhi, during her first visit to India since taking office in 2001.
India has expressed concern over anti-Indian militant groups it says work out of Bangladesh. Dhaka denies cross-border insurgents operate on its soil and points to its recent crackdown on its own Islamic militants.
India is also expected to raise concerns about the illegal migration of Bangladeshis to India.
The two sides are to discuss a growing trade gap and the sharing of water from common rivers.
Matiur Rahman Choudhury has more on the story.