Abdulmalik al Houthi, the grande leader of the Iranian-backed militias in Yemen said the rebels would welcome a new attempt in a political solution between the warring parties.
A UN-brokered peace talks in Geneva have withered in June. "We would welcome any [mediation] effort by a neutral party -- Arab or international," he said.
"A political settlement is still possible," Houthi said in a speech broadcast by the rebels' Al Massira television channel late on Sunday.
Houthi fighters have withdrawn from the key city of Aden in mid July against resistance fighters loyal to the president Abd Rabbuh Mansur Hadi. "The advance made by the enemy in Aden will collapse," he said.
"It is a short-term situation which we will overcome despite all the money of Saudi Arabia."
Houthi accused his foes of resorting to alliances with ISIS and Israel in their assault on the southern port city.
Houthi also urged his followers to continue fighting the Saudi-led coalition in spite of calling for a probable peace treaty, "Continue and move in your resistance. You are in a strong position. And you are on the way to win," he said. "We are in a battle, a great battle, in which we must use all our efforts."
A Saudi civilian was killed on Sunday but the majority of the 49 deaths so far have been soldiers.
Several ministers and top intelligence officials of the exiled Yemeni government returned to Aden last week, including the ministers of the interior and transport, a former interior minister, the intelligence chief and the deputy head of Yemen’s parliament assembly.
Heavy ammunition and armoury are flowing into Aden on Monday, activists argue the origin of the military supplies in the United Arab Emirates, an active member of the Saudi coalition.
King Salman of Saudi Arabia has responded to Hadi to “save Yemen” from Houthi aggression, so the military operations started in late March of this year.
The UN has declared the situation in Yemen to be a level-three humanitarian emergency, the highest on its scale, after about 80 percent of the country’s population fell into dire need of humanitarian aid.
Twenty million people in the country are in need of aid, 13 million are facing food shortages and 9.4 million are having difficulties accessing drinking water.
A ship carrying enough UN aid to feed 180,000 people for a month docked at the Yemeni port of Aden last week, having previously being prevented from doing so for almost four weeks, World Food Programme spokesman Peter Smerdon said.
"It's the first WFP chartered ship to berth in the port since the conflict erupted in late March," Smerdon said. "We have additional ships chartered which are on standby heading towards Aden carrying more food and fuel."