A second round of negotiations between Yemen's government and Houthi rebels could be hosted "soon" in Jordanian capital Amman, a rebel leader said Sunday after meeting the UN envoy.

The UN envoy for Yemen arrived in the capital Sanaa on Saturday for talks to shore up a ceasefire in the country's lifeline port city of Hodeidah, an AFP photographer said.

Yemeni rebels have begun to withdraw from the port of Hodeidah, the country's key aid lifeline, under an agreement reached in Sweden earlier this month, a UN official said Saturday.

The head of the United Nations team tasked with monitoring a fragile ceasefire in the flashpoint city of Hodeidah on Monday visited its lifeline docks, a port official said.

Yemen's flashpoint city of Hodeidah was calm on Tuesday following heavy clashes that erupted after the UN-brokered ceasefire started at midnight, pro-government sources and residents said.

Air strikes and fierce clashes shook the outskirts of Yemen's rebel-held port city of Hodeidah overnight, pro-government sources and residents said Sunday, despite a UN-brokered ceasefire.

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.