The body of a woman, whose gang-rape provoked protests and rare national debate about violence against women in India, arrived back in New Delhi on Sunday and was cremated at a private ceremony.
Scuffles broke out in central Delhi between police and protesters who say the government is doing too little to protect women.
But the 2,000-strong rally was confined to a single area, unlike last week when protests raged up throughout the capital.
Riot police manned barricades along streets leading to India Gate war memorial - a focal point for demonstrators - and, at another gathering point - the centuries-old Jantar Mantar - protesters held banners reading "We want justice!" and "Capital punishment".
The gang rape of a young woman in Delhi has exposed deep fissures in Indian society, as assault victims finally find their voices.
Speaking hours before his daughters attackers appeared in court, the father of the India rape victim has called for the harshest penalty.
After almost three weeks of protests over the rape of an Indian woman on a Delhi bus, the nation could face a national strike.