'People who might not want to come to the peace process might be defining themselves outside the peace process and therefore are not peace lovers and peacemakers,' he said, adding that the move might lead to a different description of their actions.
He added that those who cooperated were committed to ensuring lasting peace and stability in Burundi.
However, Deputy President Zuma, who is mediating to stop the conflict in the eastern country, said they continued to engage Palipehetu-Forces for the National Liberation leader Rwasa Agathon who had stayed away from the peace negotiations.
'We have continuously been trying to talk to Rwasa Agatho... we have invited him to meetings and will continue to do so, so efforts are being made.'
Late last year, the CNDD-FDD and the Mugabarabona-led Palipehetu-FNL signed a ceasefire agreement with the transitional government under President Pierre Buyoya.
The Agathon-led Palipehetu-FNL did not sign the agreement.
On how they felt about their trip back home, Mr Ndayikengurukiye and Mr Mugabarabona said they were happy and ready to cooperate with the transitional government to pull their home country out of its political, economic and social quagmire.
'We are going back to our country, we are going back to build our country and we are going back to implement all the agreements we have signed,' said Mr Mugabarabona, who had been out of his native Burundi for seven years.
Mr Ndayikengurukiye had been away since 2001.
Mr Zuma said plans to send a peacekeeping mission to that country were at an advanced stage.
Recently, the African Union (AU) agreed to deploy a mission comprising South Africa, Mozambique and Ethiopia, to monitor the peace deal. - BuaNews
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