Prime Minister Sheikh Hasina, her Indian counterpart Narendra Modi and West Bengal Chief Minister Mamata Banerjee will get together at Shantiniketan in West Bengal on Friday.
They will meet at Visva-Bharati University at the inaugural ceremony of Bangladesh Bhaban.
There is no official confirmation that there will be formal talks between Hasina and Mamata on the Teesta water sharing agreement, although there are speculations.
As per her tentative schedule, Hasina is scheduled to leave Dhaka for Kolkata on a VVIP flight at 8am Friday.
After her arrival at Netaji Subhas Chandra Bose International Airport, Hasina and Modi will leave Kolkata for Bolpur subdivision in Birbhum by helicopter to join the convocation of Visva-Bharati University at 9am.
Visva-Bharati Vice-Chancellor Prof Sabuj Koli Sen will receive the two premiers, said an official.
Hasina and Modi will later inaugurate the Bangladesh Bhaban.
Earlier, Cultural Affairs Minister Asaduzzaman Noor said Bangladesh Bhaban would be a symbol of Bangladesh-India friendship.
He said it would turn into a centre point of practicing literature, art and culture of Bangladesh and India and for relevant research.
Hasina and Modi would hold a meeting at the Bangladesh Bhaban, according to her draft tour itinerary.
After attending the program, Modi will leave for New Delhi via Kolkata.
Meanwhile, Hasina will visit Jorashanko Thakur Bari in Kolkata, Rabindranath Tagore's ancestral home, which has been turned into a museum dedicated to the life and works of the Nobel laureate later in the afternoon.
The next day, the prime minister will leave Kolkata for Asansole to receive an honorary D Litt degree from the Kazi Nazrul University during its third convocation.
Hasina will also visit the Netaji Museum.
She will leave Kolkata for Dhaka Saturday evening. Bangladesh High Commissioner in New Delhi Syed Moazzem Ali will see her off.