A delegation from the Anasr Allah Group, the Houthi militants who seized power in Yemen, and the General People's Congress GPC, the party of the former president, headed on Sunday to Oman.
The Saba news agency quoted spokesperson for the Houthis, Mohammed Abdulsalam, as saying the delegation will attend UN-sponsored deliberations over the crisis in Yemen.
President Abd Rabbuh Mansour Hadi, who has been staying in and acting from Riyadh for months, pulled back from talks with the Houthis that were scheduled to begin in Muscat last week.
Hadi and the government said they would not talk to the Houthis until they accept to abide by UN resolutions including the resolution 2216 calling for Houthis and their allies to cede power.
"It is time for the enemy to understand war will not lead to desired results; political solutions are still tabled and remain the only way to resolve the crisis in the country," Abdulsalam was quoted as saying.
He revealed that officials from his group had met with the Russian ambassador to Yemen who stressed there is still a chance to reach a political solution.
Russian envoy Vladimir Dedushkin returned to the capital Sanaa days ago with reports suggesting that his return came within a Russian effort to end the conflict in the country.
All foreign missions shut down and left Yemen after the Saudi-led military intervention was launched against the Houthis in late March.
Secretary General of the GPC, Arif Al-Zouka said his party and Ansar Allah are ready to travel to any place in the world and do what they can do to end the aggression against Yemen.
"We are coming back to Muscat to continue deliberations over the crisis and in support of the UN efforts to end it," Al-Zouka said.
The UN has sponsored talks between Yemenis several times but all failed to reach a deal and to end the conflict which has triggered a humanitarian catastrophe.