"All parties have agreed to solve the ethnic problem within the framework of the thirteenth amendment. We are continuing our talks," Wickremesinghe said while addressing a gathering at Deniyaya in the south.
He further said that all provincial councils will have equal powers now that the Tamil National Alliance has said that they are for a solution within an undivided Sri Lanka.
Provincial Councils became part of the Sri Lankan statute as a direct result of the landmark 1987 Indo-Sri Lanka accord, popularly known as the Rajiv-Jayewardene Accord, after its architects - Indian Prime Minister Rajiv Gandhi and Lankan President J R Jayewardene.
On the UN's human rights investigation on Sri Lanka, Wickremesinghe said it was the result of Rajapaksa's mishandling of the issue.
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"They (the Rajapaksa government) agreed with the UN Secretary General to have an investigation after the war ended. Later confirmed it at the UN Human Rights Council. But the investigation did not happen, so came the appointment of an investigation panel," Wickremesinghe said, referring to the March 2014 UNHRC resolution on Sri Lanka.
Wickremesinghe said the new government's policy on the investigation is that all criminal charges will be probed through a local mechanism.
"Only Sri Lankan courts will have jurisdiction for criminal investigations," Wickremesinghe said.
The new Maithripala Sirisena government which succeeded Rajapaksa rule was urged by a section of the international community to cooperate with the UNHRC investigation and resolve the issues concerning the country's minorities.