This was the second time the United Progressive Alliance (UPA) chairperson met the protesters, some of whom had been camping outside her house in the chilly winter weather.
Gandhi came out of her residence past midnight and assured them that "justice will be delivered".
According to one of the protesters, the Congress president spent about 20 minutes with the group of 40-50 students and assured them that she was "with them".
She also promised that she would meet them again in the morning. After her assurance, the group then dispersed.
On Sunday morning, according to some students, she met a few women protesters and assured them her support. She said the UPA government was "serious" about the case.
Thousands of people, mostly youngsters, have been protesting in the national capital for the past five days demanding justice for the 23-year-old physiotherapist who was brutally gang-raped by six men and then stripped, robbed and thrown out of the moving bus along with her friend.
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The woman is battling for life in a Delhi hospital. All the six men have been arrested.
On Saturday, thousands of protesters tried to enter Raisina Hill, the seat of power. Police had to resort to baton charge, used tear gas shells and water cannons on protesters to disperse them. But the students refused to budge.