And when asked for her thoughts on comments made by Hong Kong's last governor Chris Patten that the face mask ban was "madness", Lam said: "You can not make a spiteful comment on Hong Kong, or support the violent protesters, claiming that their way is peaceful and it's their freedom".
"But if the situation becomes so bad, then no options (can) be ruled out", she said.
Banning masked protesters has also happened in the US, Europe, and Russian Federation in the last two centuries.
The statement also said Beijing expected France to show more solidarity, given that its police force had also experienced violent anti-government demonstrations led by a "malicious fringe" of people.
Hong Kong's leader has issued a veiled warning that Beijing could intervene with force to quell the territory's violent anti-government protests, but after months of unrest, she said she still believes "we should find solutions ourselves".
China's Hong Kong military garrison warned protesters on Sunday they could be arrested for targeting its barracks with lasers - the first direct interaction between the People's Liberation Army and protesters.
Lam also told reporters it would take some time for a new ban on face coverings at public gatherings to have an effect and there is now no plan to legislate more laws under emergency powers.
The U.S. luxury jewellery retailer Tiffany & Co deleted a Twitter advertisement posted on Monday showing a female model with her hand covering her right eye, which some people interpreted as supporting the protesters.
Cheng, said he started campaigning for democracy when he was just 12, and stressed that any violence was directed at buildings and what protesters saw as symbols of mainland China rather than ordinary people. Supporters wearing masks filled the courtroom, producing the surreal sight of two people being charged for breaking the law, while surrounded by dozens of others committing exactly the same offence.
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"We regret that it may be perceived as such, and in turn have removed the image from our digital and social media channels and will discontinue its use effective immediately", Strauss said.
Rallies degenerated into running clashes with police firing tear gas and charging with shields and batons to disperse protesters across the city.
"Rioters' level of violence has been escalating, without showing any sign of abating from week to week, and has reached a very critical level", said Kwok Yam-yung, a regional police commander.
A 14-year-old boy had been shot and wounded Friday night in a scuffle involving a plainclothes police officer and demonstrators who'd assaulted his vehicle.
ATMs, Chinese banks and scores of shops were vandalised during protests over the long weekend.
That's the message from Hong Kong leader Carrie Lam on Tuesday (October 8).
Enforcement of the mask ban began Saturday, and Lam said it was too early to call it a failure.
On Oct. 4, Lam invoked a colonial-era law, the Emergency Regulations Ordinance, which empowers the city's chief executive to bypass the Legislative Council (LegCo) to implement laws and regulations during "occasions of emergency or public danger".