Nepal's missing count passed 2,400
Kathmandu also reversed itself and is letting in limited foreign rescue teams.
Rescuers in Nepal and China were still searching on Saturday. A wall of water, ice, and debris tore through Himalayan villages earlier in the week.
The number of missing passed 2,400 on Friday. Emergency teams said they had recovered 586 bodies. Some of the dead were swept as far as India.
Nepal's disaster authority added 933 hydropower workers to a missing list that already included trekkers and pilgrims bound for Tibet's Mount Kailash. Nepal reported 579 dead on Friday. It said 1,924 people, including 517 foreigners, were out of contact.
In Tibet, state news agency Xinhua said seven people had died and 554 remained missing. Authorities said they had evacuated 555 stranded tourists and 499 Chinese residents.
India said it had recovered seven bodies from rivers flowing out of Nepal.
Kathmandu also reversed itself. On 26 August it said Nepali rescuers could handle the search and would not let in teams from other countries. That line did not hold. The government is now allowing limited foreign help for tunnel rescues, DNA testing, and forensic work.
India, China, Australia, and South Korea got the green light. Other offers were turned away.
The Red Cross said the trauma has been enormous. As many as 93,000 people may have been affected. Food and water are running short in the worst-hit zones.
Fourteen hydropower projects in Rasuwa and Nuwakot were hit. Workers remain trapped in tunnels. The army has brought 350 people to safety from the Trishuli 3A site. More than a hundred were still stuck there.
The Nepal Tourism Board said 178 of the missing in Nepal are Indians. Americans, Ukrainians, Australians, and Britons are also on the list.
Foreign minister Shisir Khanal said the country wants help only in the three areas it has named.
Rescue work is still at risk. The flood created new lakes. Nepali police told teams to move to safety after a dam burst again on the Tibetan side. China paused work at Gyirong, then said the threat had eased. Xinhua reported two villagers rescued there early Saturday.
India has already sent relief. External affairs minister S Jaishankar said an 11-member medical and tunnel team travelled with the fourth tranche.
DNA work will decide how quickly families get bodies back. Nepal's labs cannot handle the volume on their own.