The Saudi-led military coalition which supports the government called for dialogue and for it to hear the demands of the separatists in the southern port city.
The United Nations urged authorities in Houthi-controlled Sanaa on Thursday to investigate a "grave attack" on the convoy of its envoy to Yemen during his visit to the capital.
At least three soldiers were killed in clashes with al Qaeda militants in southern Yemen in an operation launched by the internationally recognised government of President Abd-Rabu Mansour Hadi, security sources said.
Twelve Yemeni civilians were killed by a Saudi-led air strike while riding in a pickup truck in the country's northwest early on Wednesday, residents said.
The United Nations' envoy for Yemen said on Friday after meeting with Houthi forces in Oman that he hoped to announce a ceasefire in the conflict in the next few days.
Saudi-led air strikes killed 20 civilians in the rebel-held Yemeni port city of Hodeida late on Wednesday just hours after the rebels celebrated the second anniversary of their seizure of the capital, a government official said.