Colombo has come under increasing international pressure to probe allegations of excessive civilian deaths during the final battle that ended in May 2009. A crucial UN Human Rights Council resolution on Sri Lanka is coming up for vote in Geneva this month.
Last Monday, the UN had called for an independent international probe into allegations of war crimes in Sri Lanka during the final battle with the LTTE, prompting an angry reaction from Colombo which rejected the demand and slammed it as "unwarranted interference".
Singh's meeting with Hasina will comes in the backdrop of delay in signing the long-pending agreements on Teesta river water sharing treaty and India's ratification of land boundary agreement with that country.
This will also be Singh's first meeting with Hasina after her party Awami League coasted to a landslide victory in the January 5 parliamentary election, bagging 231 seats in the face of a boycott by BNP-led 18-party opposition alliance.
The talks are expected to touch on the agreement on Teesta river treaty which was put on hold after West Bengal Chief Minister Mamata Banerjee had expressed reservation over the quantum of water to be given to Bangladesh and she had opted out of Singh's entourage to Dhaka in September, 2011.
Singh, who is travelling to Myanmar after a gap of nearly two years, the last being a bilateral visit in 2012, will also be holding talks with the leadership in that country.
The Summit is also expected to discuss steps to bolster cooperation in counter-terrorism. India has led negotiations and finalised the BIMSTEC Convention on Mutual Legal Assistance in Criminal Matters.
India also wishes to see BIMSTEC promote economic and energy cooperation, encourage cultural links and strengthen security contacts.