A bench of justices A K Patnaik and J S Khehar reserved the order after hearing extensively the contentions of Nupur and CBI.
In a last-ditch effort to convince the apex court to review its order, the dentist pleaded she was not asking for a clean chit in the murder case but wanted a direction to CBI to reinvestigate the case.
Fourteen-year-old Aarushi was found dead with her throat slit at her Noida residence on the intervening night of May 15 and 16, 2008, while Hemraj's body was recovered from the terrace of the house the next day.
Aarushi's mother is now in in judicial custody while her father Rajesh Talwar is out on bail. The case for their trial in the twin murder case is pending at a Ghaziabad sessions court.
The apex court bench had earlier termed as "premature" the arguments of Nupur Talwar for quashing of proceedings against her on the basis of alleged lacunae in evidence in the twin murder case.
It had also said the magistrate, who ordered Nupur's prosecution, should have exercised restraint while passing the order.
It questioned as to why the magistrate passed such an extensive order which on some issues was not in conformity with the evidence in the case.
CBI, however, had justified the order saying there is noting wrong in giving the reasoning for dismissing the closure report in the case and to prosecute Talwars.