In China, officials have been pointing to evidence that new cases were declining as proof they are succeeding in keeping the virus largely contained to Hubei province and its capital Wuhan, where the virus initially emerged.
Two patients from the Cheongdo hospital have died after being infected with the virus causing COVID-19.
"Since China possesses substantial clinical experience, sharing information with Korea's quarantine authorities would be very helpful in terms of exterminating the virus", Moon said. It was the first time in Korea that a coronavirus patient died.
The World Health Organisation warned nations could face a serious problem if they fail to "hit hard now" against the virus, which has infected more than 75,000 in China and over 1,100 overseas.
He was the only one there, he told Reuters - "all of our 9,000 believers are at home".
South Korea now has 104 verified situations of the flu-like virus, and claimed its to start with death.
The latest figures from China put the death toll from the disease at 2,236 people and total infections at more than 75,000.
Numerous initial patients in South Korea reported to have contracted the flu-like and potentially fatal virus have since recovered, but the sudden and rapid spread in recent days has raised alarm.
The man, who was not identified, died at Daenam Hospital in Cheongdo, where he had been hospitalized in the psychiatric ward for the past number of years due to schizophrenia. Showing symptoms does not necessarily mean somebody has the virus.
Workers spray disinfectant outside the Shincheonji church in the South Korean city of Daegu after members fell ill with the novel coronavirus
Two patients who Yonhap news agency said were in the psychiatric ward tested positive for the virus on Wednesday, prompting authorities to begin testing all patients and staff. The sailor now hospitalized at a civilian hospital on the island is Jeju's first virus patient. But the number of cases is likely to surge as some 500 of those church goers are saying they have symptoms of the coronavirus.
"We are seeing infections in some areas like Seoul and Daegu where it's hard to confirm the cause or routes of the infections", Vice Health Minister Kim Gang-lip said, adding that the government would need to change its quarantine strategy that has focused on tracing contacts.
The Korea Centres for Disease Control and Prevention said 28 of the 35 new patients went to church services attended by a previously confirmed virus patient.
The Shincheonji Church has temporarily shut down and urged its followers to participate in online prayer sessions, according to a report by the South China Morning Post. "And then we have this large peak on February 15, 16 and 17".
"We will consult with the health authorities regarding national measures such as the use of military hospitals and designation of hospitals specialising in infectious diseases", the mayor said.
An alarming total of 53 new infections were announced on Thursday, 51 of which were in Cheongdo and Daegu, 230 km southeast of Seoul. A sailor on Jeju Island and an army officer in North Chungcheong province both tested positive.
Outside Daegu and North Gyeongsang, a 74-year-old man was diagnosed in Jongno District, central Seoul. Nearly all who were out in public were wearing face masks.. He has been to a facility in Seoul that was visited by an infected person.
Separately, Moon also talked on the phone with Chinese President Xi Jinping to discuss cooperation in combating the virus. "The government wants to add our efforts to our nearest neighbor China's to fight the [outbreak]".