Kenya's President Mwai Kibaki and opposition leader Raila Odinga have agreed to implement in full last week's deal to end the post-election crisis.
The power-sharing deal was greeted with jubilation in Kenya
The men met two days after former UN chief Kofi Annan, who secured the power-sharing agreement, left Kenya.
Parliament meets on Thursday, with its first business being to enact the deal into law and create the post of prime minister, to be held by Mr Odinga.
They also agreed to set up a committee to agree on policy for the coalition.
At a separate meeting, negotiators for Mr Kibaki and Mr Odinga agreed to hold inquiries into the contested presidential elections in December and the subsequent ethnic-fuelled violence that killed more than 1,500 people and displaced some 600,000.
The negotiating teams also agreed to create a truth and reconciliation commission.
Correspondents say Mr Kibaki and Mr Odinga looked relaxed when they met for the first time since last week's peace deal was struck.
Last week's deal followed talks lasting more than a month
Under the agreement, President Kibaki's Party of National Unity (PNU) and Mr Odinga's Orange Democratic Movement (ODM) will share cabinet positions according to their party strengths in parliament.
"It augurs well for future co-operation within a coalition government," the new chief mediator, former Nigerian Foreign Minister Oluyemi Adeniji, said about their meeting.
Mediators said the president and ODM leader also agreed to work towards "uniting all Kenyans and accelerating the healing process by holding meetings with different communities".
"We want to work as one team to unite Kenya. We want to heal those wounds that emerged after the elections," Mr Odinga told reporters afterwards.
Negotiations to hammer out a constitution and tackle other issues such as land reform - at the heart of much of the unrest - were adjourned to next week.