Karuppaiah Chandrasekar, 31, Palanivel Dhasmohan, 27, and Arumugam Karthik, 24, had been charged in court last week for being part of an unlawful assembly on December 8 at Little India, a precinct of Indian-origin businesses, eateries and pubs where most South Asian workers take their Sunday break.
Chandrasekar and Dhasmohan, were alleged to have thrown hardened concrete at police officers.
Karthik was said to have been part of a group of at least five that had overturned and set a police car on fire, as well as thrown a dustbin, hardened concrete, bottles and a metal drain cover at the bus windscreen and windows.
Yesterday, Moorthy Kabildev, 24, and Sathiyamoorthy Sivaraman, 36, were also remanded to custody for a week after being charged in court for the violence.
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The violence was sparked after a fatal traffic accident involving Indian national Sakthivel Kumaravelu.
The 33-year-old Kumaravelu, a construction worker in Singapore, was killed in the accident involving a private bus.
Lawyer Amarick Gill told the court that all three men have met the Criminal Legal Aid Scheme (CLAS) criteria, and that pro bono lawyers would be assigned to them, if they do not instead seek their own representation.
The cases of all 28 Indian nationals would be heard on Monday. Two men will take their own defence councils.
A total of 28 individuals, all Indians, have been charged for their involvement as "active participants", another 52 Indians and a Bangladeshi, will be repatriated for being participants in the violence and about 200 will be issued formal advisories.
Police have also banned alcohol consumption in public at Little India every weekend, on public holidays and on eve of public holidays within the proclaimed area.