The UK has put forward a UN security council resolution that calls for an immediate truce in the Yemeni port city of Hodeidah and guarantees of safe delivery of food and medicine.

The draft resolution is opposed by Saudi Arabia, which is leading airstrikes against Houthi rebels, and it is unclear how much effort the US is prepared to make to push it to a vote at the security council. A parallel peace effort being led by the UN also hangs in the balance as negotiations continue over safe passage of Houthi rebels to peace talks in Sweden.

On the same day the resolution was circulated among council members, Hodeidah residents reported the resumption of bombing by the Saudi-led coalition, ending a short lull in the battle for the city.

The resolution sets a two-week deadline for both Houthi rebels in control of Hodeidah and the Saudi-led coalition to remove all barriers to humanitarian aid, according to a copy seen by Agence France-Presse before a security council session on Monday.

The warring sides must “facilitate the unhindered flow of commercial and humanitarian food, water, fuel, medicine and other essential imports across the country” from Hodeidah, through which 80% of Yemen’s imports flows, the text says.

It calls for a large injection of foreign currency into the country’s economy through the central bank to support the collapsing Yemeni rial and for salaries of civil servants, teachers and health workers to be paid within one month. The resolution calls on the warring parties to cooperate with UN-brokered peace talks scheduled to begin later this month.

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The resolution supports a series of confidence-building measures aimed at paving the way for talks to end almost four years of war, including the release of prisoners, the reopening of the airport in the rebel-held capital, Sana’a, to commercial flights and strengthening the central bank.

It is unclear when there will be a vote on the UK resolution. Saudi Arabia’s de facto leader, Crown Prince Mohammed bin Salman, made it clear he objected to it when the British foreign secretary, Jeremy Hunt, visited Riyadh last Monday. CNN reported that the prince “threw a fit” when shown the resolution.

Diplomats said he argued that, by stopping the offensive on Hodeidah and guaranteeing food and medicine supplies, the resolution would reduce the Houthi rebels incentives to attend peace talks in Sweden. He also objected to any resolution he viewed as limiting the Saudi-led coalition’s freedom of action in Yemen.

The UK has decided to press ahead with the resolution nevertheless, in order to trigger a debate. Mansour al-Otaibi, the ambassador from Kuwait, a member of the coalition currently with a seat on the security council, told reporters he doubted the resolution would be voted on this week, claiming there were “many things” wrong with it.

It is uncertain what the US response will be. The US secretary of state, Mike Pompeo, did not ask for the resolution to be postponed, but diplomats at the UN said different parts of the Trump administration hold divergent views on the timing of a resolution, and how much pressure to put on Riyadh.

Pompeo and the US defence secretary, James Mattis, issued calls for a ceasefire and for the start of peace talks this month, a move interpreted by some as an increase of pressure on Saudi Arabia and Emirati allies to curb their military operations and accept a peace agreement.

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The murder in Istanbul of Saudi journalist Jamal Khashoggi has put the close relationship between the Trump administration and Riyadh under greater scrutiny. Despite this, Donald Trump has shown no signs of abandoning his support for Prince Mohammed. The calls from Pompeo and Mattis for peace talks to begin were not backed up by any warnings of US action if the appeals were not heeded.

The effort to bring the two sides to talks in Sweden is being led by the UN special envoy to Yemen, Martin Griffiths. Negotiations planned for September did not get off the ground as Houthi leaders refused to attend unless their wounded were evacuated out of Sana’a for medical care. Since then, the Saudi-led coalition has agreed to allow the evacuation, and Oman has offered to assist.

The obstacle this time appears to be a Houthi demand of guarantees of safe passage to and from Sweden.

Griffiths told the security council on Friday that he believed both sides were genuine in their expressed intention to attend the talks. He said he would fly to Sana’a this week to meet the rebel leader, Malik al-Houthi, adding that he was ready to accompany the Houthi delegation to Sweden personally, if required.

The Saudi-backed exiled government has declared itself ready to attend the talks and, over the weekend, a high-ranking Houthi official called on rebels to stop firing rockets and using attack drones, ahead of Griffiths’ proposed visit.

Mohammed Ali al-Houthi, the head of the Higher Revolutionary Committee and an influential political figure, tweeted: “We announce an initiative to call all official Yemeni parties to ask to end launching rockets and drones against aggression countries ... in order to deprive them of any reason to continue their aggression and siege, alongside a readiness to freeze and stop all military operations on all fronts in order to reach peace.”

Thousands of people have died in the conflict and fighting intensified last week after clashes escalated in Hodeidah.

Houthi said his call for an end to missile and drone attacks was aimed at “supporting the efforts of the [UN] envoy and proving our good intentions”, adding that the move came after “our contact with the UN envoy and his request to stop launching missiles and drones”.

Fighting in the city has subsided in the past three days, although residents say coalition jets resumed flying over the city on Monday and the Houthis continue to use civilian infrastructure for military purposes.

The rebels seized Sana’a and Hodeidah in 2014, prompting Saudi Arabia and its allies to intervene on the Yemeni government’s side the following year. Nearly 10,000 people have been killed since then, according to the World Health Organisation, in what the UN has called the worst humanitarian crisis. Rights groups believe the true toll may be five times as high.