Since the protests broke out in June over an extradition treaty, there has been frequent speculation that Lam could be removed for not being able to end the increasingly violent demonstrations. Lam is here for the second China International Import Expo (CIIE).
In August, thousands of civil servants defied a government warning to remain politically neutral and took to the streets.
Lam sidestepped the question of whether her job might be in jeopardy.
The Chinese leader said the Hong Kong government had done a lot of hard work to control the volatile situation with pro-democracy demonstrators and improve sentiment in society, the Xinhua news agency said.
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"He has a high degree of confidence in the chief executive and also certainly recognise the positive work of the present government and also particularly the political teams". They have not officially demanded that Lam resign, opting instead to demand the right to vote her out of office, which they now do not have.
Now, there were reports regarding the Chinese leadership not being happy about the Hong Kong government over the protests and how it is handling them.
But Carrie Lam could still be sacked within one year or during Beijing's annual legislative session in March, the expert said.
He said he also hopes that citizens from "all walks of life" will fully implement policies under the so-called "one country, two systems" principle, which allows for the former British colony to enjoy greater autonomy than the mainland.
Protesters have issued a list of demands, including universal suffrage and an investigation into abuses by police.
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But with a national election coming on December 12, the new Speaker's first job will depend on what government the public elect. The MP for Camberwell and Peckham threw her hat into the ring immediately after Mr Bercow announced he would be stepping down.
China's Communist Party last week indicated it may try to find a way to enact anti-subversion laws in Hong Kong, after such measures were shelved previously due to public opposition.
Lam was chosen in 2017 by a 1,200-strong committee stacked with Beijing supporters, a system that ensures Hong Kong's leader remains loyal to the central government but one that saddles the position with a pronounced democratic deficit.
It also can not be ruled out that Beijing might directly impose the national security law of the mainland on Hong Kong or establish a new mechanism relating to national security issues in the days ahead. This was when he was asked if China's Xi met Lam as he was not happy with her role.
"Xi gave Lam an appropriate recognition but there isn't much praise in the report because after all the situations are yet to calm", Tam added.
"He expressed care and concern about Hong Kong, especially given the social disturbances that we have seen in the last five months and he expressed support for the various action taken by Hong Kong Special Administrative Region government", she told reporters.
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Another guard was wounded in the attack, while one of the illegal loggers involved in the ambush also was killed. Brazil's justice minister , Sérgio Moro, promised a thorough investigation into the death of Mr.
"Beijing is now bound to further tighten its grip over Hong Kong and make things even worse here", she told AFP.