The Yemeni government is expected to set the date for Geneva talks on the crisis later tonight, agencies reported on Monday.
The talks will be held under UN sponsorship and in line with the 2011's Gulf Initiative for power transition.
The breakthrough came after talks between the UN envoy to Yemen Ismail Ould Cheikh and president Abd Rabbuh Mansour Hadi in Riyadh today.
Cheikh also held the talks with the Houthis in Sanaa days ago during which the Houthi group demonstrated flexibility accepting to adhere to all UN resolutions including the resolution No. 2216 on Yemen, the reports said.
The Geneva talks were scheduled for May 28.
They were postponed after the government declined to attend them except after the Houthis implement the UN resolutions.
With support from the forces loyal to the former president, the Houthi militants ousted the transition government in September.
Violence has since ripped through many cities triggering a humanitarian catastrophe.
More than half of the country's population are facing lacks of fuels, foodstuffs, electric power and medicines coinciding with persisting violence.
In late March, Saudi Arabia led an Arab military operation against the Houthi militants, part of which was a blockade on all the country's ports.
The blockade has boosted the suffering since it halted all imports.
Today, airstrikes targeted Houthi weapon depots and military camps coinciding with confrontations between pro-government and pro-Houthi forces in several cities.
Fierce battles broke out in Taiz, Aden, Baidha, Jawf, Marib and Hodeida in which casualties from both sides as well as civilians were reported.