Yemen's Saudi-backed government is willing to accept a UN role in Hodeidah's seaport, a lifeline for millions of people during the country's war, but not a long-term presence in the city itself, Foreign Minister Khalid al Yamani said on Monday.

Renewed violence in Yemen's vital port city of Hodeidah has left 10 fighters dead, despite a UN push for peace talks, an official and medical sources told AFP on Saturday.

A Saudi-led military coalition resumed air strikes against rebel supply lines around Hodeidah on Sunday two days after a UN envoy visited the lifeline Yemeni port city, pro-government military officials said.

Intense fighting broke out in Yemen's port city of Hodeidah late on Monday, shattering a lull in violence that had raised hopes of a ceasefire between a Saudi-led coalition and Houthi insurgents as the United Nations tried to resume peace talks.

Yemen's Saudi-backed army on Wednesday ordered their forces to suspend an offensive on the rebel-held port city of Hodeidah, field commanders said.

After a night of air strikes on Yemen's Hodeidah, calm descended to allow hungry families to stock up on food in the Houthi-held Red Sea port city on Tuesday.

Yemeni government forces pressed further into the strategic port city of Hodeidah, seizing its main hospital in heavy fighting Saturday, as their Saudi-led coalition backers put a brave face on an end to US refuelling support.

Yemeni forces, supported by a Saudi-led coalition, said they advanced against Iran-allied rebels around Hodeidah on Saturday, a day after the government fighters started a major offensive to retake the vital port city.

A air strike by the Saudi-led coalition against a radio station in Yemen's Houthi-held port city of Hodeidah killed four people on Sunday, residents and medical sources said.

A Saudi-led coalition launched heavy air strikes on Yemen's main port city of Hodeidah on Friday, in an apparent resumption of military operations on the city after the Iranian-aligned Houthi movement attacked two Saudi oil tankers, residents said.

Yemen's Houthis deployed additional forces in the main port city of Hodeidah on Sunday as a Saudi-led military coalition moved closer to the city centre in the largest offensive of the war, raising UN fears of a humanitarian catastrophe.

Arab coalition troops stormed the airport in Yemen's main port Hodeidah on Tuesday and captured large areas of the compound in battles with Iran-aligned Houthis, a Yemeni military source, the UAE news agency and local residents said.