However scepticism around the proposed negotiations remains, after previous talks broke down in September after Saudi Arabia refused to allow a Houthi delegation to fly to Geneva to attend the meeting.
Wounded Houthi fighters in Yemen's rebel-held Sana'a are being evacuated Monday before peace talks set to begin this month in Sweden. The US Senate is due to consider this week a resolution to end support for the conflict, which is seen as a proxy war between Saudi Arabia and Iran.
His arrival coincided with the evacuation of a number of wounded Houthis from the capital to Muscat, Oman.
Since the coalition intervened in 2015, Yemen has become the worst humanitarian crisis in the world, according to the UN.
The reduction of violence, Sanaa Airport, humanitarian access and economic challenges will be discussed, Griffiths said.
The United Arab Emirates, which is a key player in the coalition, said the evacuation of the wounded fighters showed its commitment to the talks in Sweden and the opportunity they provided.
Mark Lowcock, the UN's humanitarian aid chief, has visited Yemen several times in recent weeks.
Deputy Kuwaiti Foreign Minister Khaled Al-Garallah said his country is doing everything it can to support the peace talks and argued that a settlement of the conflict in Yemen is a prerequisite for regional stability, and that any future dispensation should include room for friendly relations with Iran on the condition of non-interference by Tehran in internal Arab affairs.
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Transparency" wants to go back to a setting where he knows he can not answer the questions is befuddling to me, and I don't think my fellow citizens buy that", Gowdy said.
The Islamic Republic of Iran's Foreign Ministry seizes the opportunity here to express its readiness to establish cooperation with the worldwide community to immediately resolve the Yemen crisis.
The mounting humanitarian needs, and outrage over the killing of Saudi writer Jamal Khashoggi, have galvanized worldwide support for ending the war.
An agreement to exchange hundreds of detainees was welcomed by the International Committee of the Red Cross, which will oversee the swap after the first round of planned peace talks in Sweden.
It was earlier repoorted that the delegation of the Houthis arrived Tuesday evening in Stockholm.
Skau would not confirm the location of the talks, but said they will be "near" the Swedish capital, Stockholm. The government delegation and the head of the rebel delegation travelled to Sweden on Wednesday.
UN Secretary-General Antonio Guterres, however, has played down the early December schedule and said he hoped talks would start "this year".
Regional diplomats are no less sceptical.
UN Emergency Relief Coordinator Mark Lowcock presented the organisation's Global Humanitarian Overview (GHO) 2019 in Geneva on Tuesday, in which it is estimated that in 2019 almost 132 million people in 42 countries will need assistance and humanitarian protection, many due to conflicts, the main cause for humanitarian intervention.