Houthis Reuters

Yemen’s Houthi rebels announced on Sunday night they were halting drone and missile attacks on Saudi Arabia, the United Arab Emirates and their Yemeni allies, Reuters reported.

The move came in response to a demand from the United Nations. International pressure has mounted on Yemen's warring parties to end the war that has killed more than 10,000 people and pushed the country to the verge of starvation.

The move from the Houthi group came after the Saudi-led coalition ordered a halt in its offensive against Yemen´s main port city Hodeidah, which has become the focus of the war.

"After our contacts with the UN envoy and his request to stop drone and missile strikes ... We announce our initiative ... to halt missile and drone strikes on the countries of aggression," Mohammed Ali al-Houthi, the head of the Houthis' Supreme Revolutionary Committee, said in a statement quoted by Reuters.

UN special envoy Martin Griffiths is trying to salvage peace talks after a round in September collapsed when the Houthis did not show up. He hopes to convene talks before the end of the year in Sweden to agree on a framework for peace under a transitional government.

Yemen's parties have given "firm assurances" they are committed to attending peace talks to be convened shortly, Griffiths told the UN Security Council on Friday, and pledged to escort the Houthi delegation from Sanaa if needed.

The Iran-backed Shiite Houthi rebels have been at war with a Saudi-led coalition allied with Yemen’s internationally recognized government for nearly four years.

It has long been believed that Iran is planning to use the Houthis to take over Yemen and seize the key strategic port of Aden, which controls the entrance to the Red Sea and ultimately to the Israeli resort city of Eilat.

Iran denies it is backing the Houthis and has also denied Saudi Arabian accusations that Tehran provided the Houthi rebels in Yemen with ballistic capabilities.

According to Sunday’s report, the Houthis added they were ready for a broader ceasefire if "the Saudi-led coalition wants peace."

Saudi Arabia and the UAE both have said they support UN-led peace talks.

The Houthis say their missile attacks on Saudi Arabia are in retaliation for air raids on Yemen by the Western-backed coalition, which entered Yemen’s war in 2015 to try to restore the Saudi-backed government of President Abd-Rabbu Mansour Hadi.

The coalition has carried out thousands of air strikes in the country which have hit schools, markets and hospitals and have killed hundreds of people, though it says it does not target civilians.

One of the more serious air strikes occurred in August. The air strike targeted a bus in the Houthi stronghold of Saada, killing at least 29 children and injuring at least 48 others, including 30 children.

UN Secretary-General Antonio Guterres condemned the coalition air strike in Yemen, calling for "an independent and prompt investigation".

The UN Security Council subsequently also called for a "credible" probe of the air strike.

Western countries have provided arms and intelligence to the Arab states in the alliance, but have shown increasing reservations about the conflict since the murder of Saudi dissident journalist Jamal Khashoggi at the Saudi consulate in Istanbul early last month.

Last week, US lawmakers introduced a bill that would suspend weapon sales to Saudi Arabia and prohibit US refueling of Saudi coalition aircraft for Riyadh’s campaign in Yemen.