The two Middle East powerhouses had held several rounds of dialogue in Iraq and Oman before reaching the agreement to mend ties on March 10 in China.
Saudi delegation's arrival comes roughly a month after China helped broker a surprise rapprochement between Saudi Arabia and Iran.
Rebel officials say 13 prisoners were released in exchange for a Saudi prisoner, and meanwhile, delegation from Oman arrives in Sanaa to hold talks with Houthi leaders about peace process.
Saturday's deadly drone attack in the country's third largest city of Taez follows clashes in Marib province earlier this week that killed soldiers, military sources said.
Clashes late on Tuesday took place in the oil-producing province, which is one of the main battlegrounds and the scene of sporadic fighting between the Iran-backed group and the Saudi Arabia-backed government.
Yemen lacks proper infrastructure due to ongoing civil war, which decreased the vital services provided to Yemenis and increased their suffering in times of extreme weather.
The authorities gave no indication of foul play in the blast that killed at least two people, wounded 120 others and damaged several buildings and stores.
Three people killed in main Sanaa city after rebels shoot down a spy drone of Saudi-led military coalition, Houthi officials say.
The International Committee of the Red Cross has facilitated the release and repatriation of nearly 100 Yemeni prisoners.
Yemen's government has blamed Houthi rebels for the postponement of the flight meant to transport passengers in need of medical treatment to Jordan's capital.
During the two-month truce, the Saudi-led coalition will allow 18 vessels carrying fuel into the port of Hodeida, and two commercial flights a week from the Yemeni capital to Jordan.
Iran-backed rebels say they "regretted the absence of a clear and transparent response" from Saudi Arabia to their own ceasefire initiative, a day after the Saudi-led coalition declared Ramadan ceasefire in the poor Arab country.
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