Several retired US admirals with China experience suggested that Haiyan provided a perfect opportunity for China to become more involved in international relief efforts.
Timothy Keating, a retired admiral who oversaw US forces in Asia as head of Pacific Command, urged China to send the "Peace Ark" hospital ship to the Philippines.
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In an interview on Friday, Mark Montgomery, commander of the USS George Washington Strike Group which is helping the relief effort, declined to comment on whether China should send the ship.
The US has pledged $20 million and sent 12 navy ships to the Philippines to help deliver provisions and shelter for the more than 800,000 people who have been displaced by the most powerful storm to hit the archipelago in living memory. Japan is also sending a record 1,000 military personnel to help.
Albert del Rosario, the Philippines foreign minister, said that his government was "appreciative of China's kind offer of medical assistance".
"We are promptly referring China's offer to our senior officials in the department of health for a timely assessment of our current and future medical needs in the affected areas," said Mr del Rosario. "I would again wish to thank the Chinese government for their humanitarian gesture."
(Read more: As Philippines rebuilds, family overseas will play a key role)
Philippines President Benigno "Noy Noy" Aquino last week downplayed estimates from local officials that the death toll could reach 10,000, saying it was more likely to be closer to 2,500. By Sunday, however, the official death toll had reached 3,681.
The US military on Sunday said the USS George Washington and its accompanying ships had delivered 335,000 litres of water and 35,000 kilogrammes of food to people on the eastern short of Samar, an island in the Philippines that was one of the worst hit areas in the country.
As international rescue teams help the Philippines, Filipino expatriates are coming together to raise money for friends and relatives in the country of 92m people.
(Read more: Typhoon was our 'Black Swan:' Philippine Exchange CEO)
In Hong Kong – where there are 180,000 Filipinos – many people were expected to organize charity events on Sunday to raise cash to send to aid organisations including the Philippine Red Cross.