HONG KONG, July 20 (AFP) - Hong Kong's leader said Sunday (Jul 19) that COVID-19 was spreading out of control in the city as she announced a record daily high of more than 100 cases and ordered new social distancing measures.

The finance hub was one of the first places to be struck by the virus when it emerged from central China.

But the city had impressive success in tackling the disease, all but ending local transmissions by late June.

However, in the last two weeks, cases have begun to spike once more and doctors fear it is spreading undetected in the densely packed territory of 7.5 million people.

On Sunday, chief executive Carrie Lam said more than 500 infections had been confirmed in the last fortnight, bringing the city's total tally to 1,788 cases with 12 fatalities.

More than 100 were confirmed on Sunday alone, a record daily high for the finance hub.

"I think the situation is really critical and there is no sign the situation is being brought under control," chief executive Carrie Lam told reporters.

Lam announced new social distancing measures last week, shuttering many businesses including bars, gyms and nightclubs, and ordering everyone to wear masks on public transport.

Restaurants were ordered to only offer takeout services in the evenings.

On Sunday, Lam announced new measures including plans to make it compulsory to wear masks inside any public indoor venue - and a new order for non-essential civil servants to work from home.

As hospital wards fill up, officials are also scrambling to build a further 2,000 isolation rooms on barren land near the city's Disneyland resort to monitor and treat those who test positive, she added.

Hong Kong was already mired in recession when the pandemic hit thanks to the US-China trade war and months of political unrest last year.

The new partial lockdown has compounded the economic misery.

On Sunday, Lam called for landlords to look at lowering rents.

She said further social distancing measures would be rolled out if the daily infection rate did not ease in coming days.

However, she said she was keen to avoid ordering people to remain at home.

"We can't just make a simple and extreme move to cut everything at once," Lam said.

Authorities say testing will be ramped up, targeting high-risk populations such as taxi drivers and restaurant workers after clusters were found within their ranks.

Some of the new infections have swept through elderly care homes, a major cause of concern given how deadly the coronavirus is to older people.

So far, 12 people have died after contracting the virus in Hong Kong -- four in the last fortnight.

Lam said officials would try to strike a balance between protecting health and keeping the economy partially afloat.

"It's hard to tell what kind of measures we will need to roll out... many places have ordered people to stay home," she said.

"We haven't adopted that in the last six months because we wanted to maintain a normal life for everyone."