The opposition has been demanding the military give up power since April, when the armed forces toppled President Omar al-Bashir, ending his 30-year rule after months of demonstrations.
"The leadership of the Freedom and Change Forces met and decided to respond to the mediators' call for direct negotiations with the military council and that the negotiations should only be about the presidency of the sovereign council and that the time frame for the negotiations should be 72 hours," said Madani Abbas Madani, a leader of the Forces of Freedom and Change.
The group would decide whether to start the talks on Wednesday or Thursday depending on a final proposal from mediators. It also demanded that political prisoners be released.
Since Bashir's downfall, opposition groups have kept up demonstrations pressing the military to hand over power. Talks collapsed after members of the security services raided a sit-in protest camp outside the defence ministry on June 3.
The two sides have agreed on proposals presented by Ethiopian and African Union mediators to solve the crisis, Mahmoud Dirir, the Ethiopian mediator, said on Tuesday.
But they still disagree over the structure of a sovereign council meant to lead the country during the transitional period, Dirir said.
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