Saudi Arabia's Foreign Minister Prince Faisal bin Farhan Al Saud told Al Arabiya TV that the efforts to extend the truce in Yemen still stand.
The kingdom, the Saudi-led coalition fighting in Yemen and the Yemeni government are "keen on extending the truce," the Saudi-owned TV reported on Wednesday quoting the minister.
On October 3, the United Nations envoy for Yemen scrambled to revive a six-month truce after a missed deadline raised fears of a return to war and prompted rebel threats against Saudi Arabia and the United Arab Emirates.
Special envoy Hans Grundberg pledged "relentless efforts" to reinvigorate the truce, which lapsed in the last week of September after bringing a sharp reduction in clashes since it came into force in April.
Iran-backed Houthi rebels have been fighting a Saudi-led pro-government coalition since 2015 in a war that has left hundreds of thousands dead and created the world's worst humanitarian crisis according to the UN.
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Grundberg's plan to extend the truce — which was initially set to last two months and was renewed twice, to half a year — and to broaden it to new areas of the agreement was rejected by the Houthis.
His proposal included paying civil servants' salaries, opening routes into the rebel-blockaded city of Taez, expanding commercial flights from the rebel-held capital Sanaa and allowing more fuel ships into the port of Hodeida, also controlled by the Houthis.
It also contained commitments to release detainees, resume an "inclusive" political process and tackle economic issues including public services.
But the northern-based Houthis, who seized Sanaa in 2014 and control large swathes of the Arabian peninsula's poorest country, said the proposal "does not live up to the demands of the Yemeni people and does not establish the peace process".
"The Yemeni people will not be deceived by false promises," the Supreme Political Council said, demanding revenues from Yemen's oil and gas resources, according to the Houthis' Yemen News Agency.
Aid groups have raised the alarm for the long-suffering people of Yemen, including 23.4 million Yemenis who are dependent on humanitarian aid.
"Over the past six months, the truce had given millions of people in Yemen respite from fighting and hope for a more lasting settlement of the conflict," said Fabrizio Carboni, regional director for the International Committee of the Red Cross.
"We call on all parties to keep the dialogue open and put the needs of the Yemeni people first."
As well as fighting on the ground, hostilities have been marked by coalition bombing raids and rebel drone-and-missile attacks on oil facilities in Saudi Arabia and the UAE, a major partner in the anti-Houthi alliance.
The Houthis' military spokesman Yahya Saree warned oil companies in Saudi Arabia and the UAE "to organise their situation and leave", in a tweet.
As Yemen's fate remained unclear, government sources reported attacks by the Houthis south of Marib, the government's last northern stronghold and key to Yemen's oil resources.
Houthi shelling was also reported in Taez, Yemen's third biggest city, which has been blockaded by the rebels since 2016. Sporadic clashes have continued even during the truce period.
(With additional input from AFP)