If that fails, their last legal option is to file a mercy plea before the President.
Devi said she believed that nothing less than the death penalty could curb such crimes.
The victim, a 23-year-old physiotherapist, was gang-raped by six persons, including a juvenile, in Delhi in a moving chartered bus on December 16, 2012. The woman succumbed to her injuries two weeks later at a hospital in Singapore.
"The death sentence had been confirmed by the Supreme Court sometime back and this was a review petition". A few months later, one of the accused, Ram Singh, was found dead in prison.
A juvenile, who was among the accused, was convicted by a juvenile justice board.
But there was a sense of regret that delay in taking a crucial decision - of preparing a national database of sexual offenders - has meant that the juvenile convict in the case is now untraceable after serving time in a correction home for three years.
The top court said the trial court, high court and the apex court elaborately considered the dying declarations during the trial of the case and the convicts could not be allowed to raise the same issues again.
A three-judge bench, headed by Chief Justice of India (CJI) Dipak Misra, maintained that a review of the Supreme Court's verdict of May 5 a year ago would have been necessary only if there were "errors resulting in miscarriage of justice".
The three dying declarations of the victim were recorded.
This included the attack of an eight-year-old girl from the northern Jammu region who died after being kidnapped, drugged and gang-raped by several men for days at a Hindu temple.
The convicts had challenged the validity of the dying declaration and claimed that there were discrepancies in her statement.
India's Supreme Court has turned down an appeal against the death penalty for three men convicted of a fatal gang rape in Delhi, an incident that prompted uproar at home and overseas.
Justice Ashok Bhushan, who authored the judgment for the three-judge Bench led by Chief Justice Dipak Misra, quoted the almost 40-year-old Bachan Singh judgment on death penalty to portray the long battle waged between the pro-death penalty advocates and the abolitionists.
The three men - Pawan Gupta, Vinay Sharma and Mukesh Singh - had asked the Supreme Court to consider less severe punishment. "However, I am happy that my daughter has finally got justice", Singh told reporters.
Delhi Commission for Women's chief Swati Maliwal said that she would issue a notice to the Delhi police and Tihar jail to find out when the execution will take place.