Rajapakse, who was re-elected in January on the back of a resounding victory over Tamil separatists that ended a 37-year-long civil war last May, has come under fire for his treatment of Tamil civilians.
The United Nations estimates 7,000 of them died in the final stages of the fighting and hundreds of thousands were displaced by the military campaign in the rebel former strongholds in the island's north and east.
In New Delhi, Rajapakse discussed the resettlement of an estimated 80,000 Tamils still living in government-run camps during talks with Indian Prime Minister Manmohan Singh and senior government ministers, an official told AFP.
Both sides also discussed Colombo's plans for a "reconciliation commission" aimed at fostering unity between the majority Sinhalese population and the minority Tamils at the root of the separatist conflict.
The civil war is estimated to have claimed up to 100,000 lives, according to the United Nations.
India, which has some 62 million Tam