The MPs said India should join hands with the United States in bringing out a Resolution against Sri Lanka asking it to categorically implement the recommendations of its own Lessons Learnt and Reconciliation Committee (LLRC).
Sri Lanka has not implemented the recommendations of the LLRC despite India and other countries voting in favour of a resolution censuring the island's government last year at the UNHRC.
"This will certainly help in rendering justice to the Tamils of Sri Lanka, in addition to delegation of power in Government, conduct of free and fair elections in the Northern Province of Sri Lanka, and rehabilitation and resettlement of the displaced persons," the MPs said in a memorandum.
The MPs, who met Singh are N S V Chitthan, M Krishnaswamy, K S Alagiri, J M Haroon, S S Ramasubbu, P Viswanathan and Manickam Tagore.
They also thanked the Centre for notifying the Cauvery Waters Dispute Tribunal's final Award in the official Gazette of India.
"We are quite sure, the publication of this notification in the Gazette would indeed bring in some respite to the people of the southern states of Kerala, Puducherry in general and Tamil Nadu in particular," they said.