"We now leave Kuwait... But are not quitting the consultations and not ending them before August 7," said the head of the delegation, Foreign Minister Abdulmalek al-Mikhlafi.
He was referring to the end date set by the UN envoy Ismail Ould Cheikh Ahmed for the talks that began April but have so far failed to end Yemen's conflict.
"We will return any minute... If the other side agrees to sign" the UN proposal, which was accepted by the government but rejected by the rebels, Mikhlafi told reporters at Kuwait Airport.
"The ball is now in the rebels' court," he said.
The delegation was returning to Riyadh after informing the UN envoy that it was ready to sign the proposed peace plan, Emrani said.
The Iran-backed Huthi rebels and their allies, former president Ali Abdullah Saleh's loyalists, rejected the peace plan yesterday, saying it was incomplete.
"The other party now has the key to make the talks fail or succeed... If they agree to the plan, our delegation will return," Emrani said.
"This Huthi-Saleh alliance will never accept any peace deal that does not legitimise their coup," Mikhlafi said.
The government delegation's decision to leave host country Kuwait came after a meeting with the UN envoy.
The government delegation had been due to quit negotiations and leave Kuwait yesterday but cancelled the decision after Ould Cheikh Ahmed presented his draft peace plan.
According to the government, the draft plan calls for the rebels to withdraw from the capital Sanaa and two major cities, hand over heavy arms and return state institutions they seized in September 2014.
Yemen, home to what the United States sees as Al-Qaeda's deadliest franchise, descended into chaos after the 2012 ouster of longtime strongman Saleh.
Security deteriorated further after the Huthis swept into Sanaa and pushed south, forcing President Abedrabbo Mansour Hadi's government to flee into exile in March last year.
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