Some 9,000 protesters pushed back riot police, managing to retake territory south of a major intersection.
They have been occupying parts of the city for weeks, angered at China’s curbs on who can stand in Hong Kong’s next leadership election in 2017.
Police made 26 arrests for assault and other offenses on Friday evening.
Fifteen police officers were injured in the clashes, police said, while several protesters were seen being knocked to the ground during the latest scuffles, AP news agency reports.
Protest group Occupy Central issued a statement saying that the clearance operations ordered by the government had “triggered a new wave of occupations and worsened relations between police and citizens”.
The Mong Kok camp in Kowloon is an offshoot of the original protest site around government offices in Admiralty on Hong Kong Island.
Protesters and police are also congregating at Admiralty, although there are no reports of clashes.
Earlier on Friday, Alex Chow from the Federation of Students said both his group and the government had agreed to meet on October 21, in talks that would be broadcast live on radio, the South China Morning Post reported.
Hong Kong leader CY Leung said on October 16 that the government was ready for talks, but China would not retract its decision to vet candidates for the 2017 elections.
The last time talks were scheduled they were cancelled by Chief Secretary Carrie Lam, who said it was impossible to have constructive dialogue while the occupation of city streets continued.
Protester numbers have dropped off since the start of the month, when tens of thousands were on the streets. But tensions escalated this week, with violent clashes as police cleared an underpass on Lung Wo Road near the chief executive’s offices.
A video showing plainclothes police officers beating an unarmed protester, who is a member of the pro-democracy Civic Party, also sparked outrage.
Police said seven officers had been suspended pending an investigation.
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