The territory's Beijing-backed leaders have offered few concessions and police have cracked down hard on protesters in increasingly violent confrontations.
"By signing the legislation, he signaled support for the protesters and the preservation of Hong Kong's autonomy, while putting Beijing on notice that the USA would be closely watching developments in Hong Kong going forward", Glaser told the Nikkei Asian Review.
"I and my government are listening to our people with a view to resolving some deep-seated problems in Hong Kong through dialogue", she said, adding that "Hong Kong can bounce back".
The unrest began in June with a huge march against an extradition bill seen as an erosion of freedoms promised when Hong Kong returned to Chinese control in 1997. "We should not stop there, I came today because we have to keep fighting".
On Thursday, police entered the campus of the Hong Kong Polytechnic University, to which they have laid siege for days.
Separately, the newspaper confirmed that a Taiwanese man, Lee Meng-Chu, was also arrested by police in nearby Shenzhen city on Oct 31, for allegedly stealing state secrets for foreign forces after he made a trip to Hong Kong in August to support "anti-China" activities.
"Hong Kong has been living amid great power struggles since it opened as a commercial port".
Last week, after Congress passed the Hong Kong bill nearly unanimously, Trump spoke of his dilemma of having to stand up for American values but also to move trade talks with China forward.
But the Hong Kong government has not indicated that it is ready to concede to the protesters demands, including the introduction of a direct vote to choose the chief executive.
The results indicate that more people now think that the protests will end once the government makes concessions.
At Saturday's first rally, the crowd in the park rose at one point to sing "Glory to Hong Kong", which has become the unofficial anthem of protests.
"It has been quiet after the district elections and that is unexpected", senior citizen protester Ponn's 26-year-old daughter told Reuters.
Chinese Vice Foreign Minister Le Yucheng summoned United States ambassador Terry Branstad and demanded that Washington immediately stop interfering in China's domestic affairs.
As of Friday night, a total of 5,890 people have been arrested and 2,345 of them are students, according to Cheung.