SANAA, Yemen- UN Special Envoy, Martin Griffiths, left Yemen's capital, Sanaa, after holding "fruitful" talks with the rebel leader, in a bid to avert major fighting, for the Red Sea port of Hodeidah.

"During this visit," Griffiths told reporters at the airport, "I have held meetings with the leaders and representatives of Ansar-Allah (Houthis) and the General People's Congress. In this regard, I am especially thankful to Abdulmalik al-Houthi (the chief of the Houthi movement) whom I met Tuesday, for his support and the fruitful discussion we held," Griffiths said.

Griffiths said, he will brief the UN Security Council today, on the outcome of his discussions in Sanaa and Aden.

"My talks with the parties will continue in the coming days," Griffiths said, adding that, "I hope to see very soon President Abd-Rabbu Mansour Hadi. I had a meeting with him last week, a very positive meeting, as usual."

Griffiths arrived in Sanaa on Monday, after his series of intensified negotiations last week, with Yemeni exiled President, Abd-Rabbu Mansour Hadi, in the southern Yemeni temporary capital of Aden, as well as, with the leadership of the Unites Arab Emirates (UAE) in Abu Dhabi, and Saudi leaders in Riyadh.

Earlier this week, UAE's Minister of State for Foreign Affairs, Anwar Gargash, said, his country welcomed UN peace efforts and declared a pause of a military advance, started on Jun 13. Griffiths' visit to Sanaa came, a few days after Houthi chief, Abdulmalik al-Houthi, proposed to hand over management of Hodeidah port.

But Yemeni President Hadi and UAE official Gargash, stipulated a full military withdrawal by Houthi rebels from Hodeidah, as a condition for halting war and resuming peace talks.