More than two dozen people are still missing.
Yemenis, Indians and Sudanese were among those missing on the Arabian Sea isle and officials feared some may be dead.
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Salah is home to about 2,00,000 people and portion of it lost power after being hit by the storm.
Omani forecasters warned Salalah and the surrounding area would get at least 200 millimetres of rain, over twice the city's annual downfall.
The cyclone made landfall in Oman early Saturday, killing four people in the country's third largest city, Salalah.
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Tropical cyclone "Mekunu" is unlikely to reach the UAE, but the eastern and southern parts of the country might be affected by a moist air mass, according to the medium-range forecast issued by the National Centre of Meteorology, NCM.
Fast-moving waters from the rain and storm surge flooded normally dry creek beds.
India's meteorological department described the cyclone as "extremely severe", with sustained winds of about 110mph (177km/h).
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The Port of Salalah - a key gateway for the country - also closed, its cranes secured against the pounding rain.
The Public Authority for Civil Aviation has announced in a statement Sunday the end of the direct impacts of the disaster, which hit Dhofar and Al Wusta governorates since Friday. Over 230 families in Oman have been relocated to better buildings.
The unit also worked on digging wells to provide fresh water, providing portable bathrooms and wastewater tanker in the needed areas. Some humanitarian aid from Saudi Arabia and the United Arab Emirates arrived on the island just hours after the cyclone receded.
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Two " control rooms " in the worst-hit Kozhikode district have been set up to closely monitor the spread of the virus. Two brothers from the family died on May 5 and their father is also infected and being treated in hospital.
He told AFP that authorities have recovered the bodies of the five Yemeni nationals and two Indians and were still searching for the remaining 12. They spoke on condition of anonymity because they were not authorized to brief reporters. "You can't even go outside".