Millions of people have demonstrated over the last 14 weeks in the biggest challenge to China's rule of the financial hub since its handover from Britain in 1997.
Protesters took to the streets again on Sunday, marching to the American consulate to call on Congress to pass a bill expressing support for the pro-democracy movement.
The proposed law could undermine Hong Kong's special US trade privileges by mandating regular checks on whether authorities were respecting the Basic Law that underpins the city's semi-autonomous status.
Hong Kong leader says escalation of violence will not solve social issues
But Hong Kong's pro-Beijing Chief Executive Carrie Lam said that any change to its economic relationship with Washington would threaten "mutual benefits".
"It's extremely inappropriate for any country to interfere in Hong Kong's affairs," she told reporters.
"I hope that no more people in Hong Kong actively reach out to tell the United States to pass the act."
Beijing on Tuesday echoed Lam's remarks, with foreign ministry spokeswoman Hua Chunying saying: "We hope that they can withdraw their black hands in Hong Kong as soon as possible."
While some American politicians on both sides of the aisle have expressed support for the democratic goals of the protesters, President Donald Trump's administration has maintained a more hands-off approach while it fights a trade war with China.
Trump has called for a peaceful resolution to the political crisis and urged Beijing to not escalate with a violent crackdown, but he has also said it is up to China to handle the protests.
Washington has rejected Beijing's allegations that it is backing the demonstrators and China has provided little evidence to back its claims beyond supportive statements from some US politicians.
Separately, more than 150 lawmakers in Britain have called on Foreign Secretary Dominic Raab to offer second citizenship and the right of abode to residents of Hong Kong.
That would "send a strong message to China that the people of Hong Kong are not alone", the open letter said.
Hong Kong's protests were lit by a plan to allow extraditions to the authoritarian mainland, seen by opponents as the latest move by China to chip away at the city's unique freedoms.
After Beijing and city leaders took a hard line, the movement snowballed into a broader campaign calling for greater democracy, police accountability and an amnesty for those arrested.
The protests show no signs of abating, and Lam has struck an uncompromising tone for much of the last three months.
But last week she made a surprise concession, announcing the full withdrawal of the extradition bill.
That was not enough to mollify activists, who denounced the move as too little and too late, and huge crowds thronged the streets again over the weekend.
In what has become a familiar pattern, Sunday's main daytime rally to the US consulate passed off peacefully.
Hong Kong students take protest to schools with human chains
But as evening set in, riot police chased groups of hardcore protesters who blocked roads, vandalised nearby subway stations and set makeshift barricades on fire.
Hong Kong police on Tuesday said off-duty officers will be carrying extendable batons to be used in case of emergency.
Lam once again denounced demonstrators during her Tuesday press conference.
"The crazy destruction made at MTR stations shows that protesters have acted beyond expressing their views on the extradition law and other demands," she said, using the name of the firm that runs the city's underground rail service.
"The escalating and continuous violence cannot solve the problems we face in Hong Kong."
Meanwhile, in Berlin, Joshua Wong, a prominent face in the pro-democracy movement, met Germany's foreign minister Heiko Maas - a move that drew ire from China, which called the meeting "disrespectful".
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