Speaking before the UN's Security Council, Martin Griffiths said on Thursday he hopes the meeting will allow the government and Houthi rebels to discuss "the framework for negotiations, to agree on relevant confidence-building measures and specific plans for moving the process forward".
Yemen, described by the United Nations as the world's worst humanitarian crisis, has seen more than a million suspected cholera cases amid the conflict between Iran-backed Huthi rebels and government forces supported by a Saudi-led coalition.
Riyadh recently halted oil shipment through the critical Bab al-Mandab strait in response to Houthi missiles striking Saudi oil tankers.
Otherwise, it would be considered "a violation for the global laws and an empowerment of the Houthi militia to keep their illegal control over Yemen", he said in remarks reported by Yemen's state-owned Saba news agency.
The UAE is part of a Saudi-led military coalition that has been fighting the Shiite Houthi rebels since March 2015, in order to defend the internationally recognized Yemeni government under President Abd-Rabbu Mansour Hadi.
The Saudi alliance carried out air raids on the Major Yemeni city in a bid to force the Houthi rebels in control of the city to surrender according to the rebel-run health ministry.
"While the exact circumstances around the ground explosions are still unknown, this lack of respect for civilian life and civilian property is reprehensible", Johannes Bruwer, head of the ICRC delegation in Yemen, said in a statement yesterday.
Saudi Arabia orders Canadian envoy to leave over criticism
Canada also imports $2.6 billion in goods from Saudi Arabia, with the overwhelming majority being mineral products. The Kingdom will also freeze "all new business" with Canada. .
Medical officials and the USA blame the Saudi-led coalition, which in turn pins responsibility on the Iran-backed Houthi rebels. The Saudi coalition couldn't immediately be reached for comment.
"The scenes coming from Hudaydah are horrific", the statement said.
The fighting around Hodeida has raised United Nations fears of a new humanitarian catastrophe in a country already standing at the brink of starvation and gripped by a deadly cholera epidemic.
As Common Dreams reported, worldwide aid groups have warned that an attempt by the Saudi-led coalition to take control of the port city could imperil shipments of life-saving food and medicine to millions of Yemenis as they face widespread food shortages and a worsening cholera epidemic.