A case under relevant sections of the Indian Penal Code and POCSO Act has been registered and an investigation is underway, a senior police officer said.
Standing counsel Sanjay Lao, appearing for State, said that an SIT has already been constituted after the case was transferred from the local police station to Crime Branch.
Following the communication from Facebook, the NCPCR withdrew its direction to the company to appear before the commission with an explanation over non-action over Gandhi's post.
The BJP also demanded that Twitter should again lock Rahul's account as the victim's family has denied his claim that he took their consent before posting the pictures.
In their plea, which will be heard by Justice Yogesh Khanna on Tuesday, the parents of the deceased child have stated that they have 'no faith in the present investigation'.
The Congress questioned PM Narendra Modi's 'silence' on the alleged rape and murder of a 9-year-old Dalit girl in Delhi.
Dalit girl rape: HC to hear on September 27 PIL for FIR against Rahul Gandhi for disclosing identity of minor
Senior advocate Sajan Poovayya, representing Twitter, told the court that the tweet in question has been removed as it was found to be in violation of the platform's own policy.
Kejriwal had last week visited the parents of the victim and announced the compensation besides ordering a magisterial probe into the incident.
The nine-year-old girl was allegedly raped and killed by a priest and three employees of a crematorium near the Delhi Cantonment area in southwest Delhi.
The visit comes a day after the case was transferred to Crime Branch for an expeditious and scientific investigation, they said.
Police Commissioner of Delhi, Rakesh Asthana gave the direction for the transfer of the case.
The Vishva Hindu Parishad (VHP) also demanded a speedy investigation into the incident and capital punishment for the accused.
Delhi Chief Minister Arvind Kejriwal also met them and announced a magisterial inquiry into the matter.
The Vishwa Hindu Parishad demanded a speedy investigation and that the case be heard by a fast-track court.
Delhi Chief Minister Arvind Kejriwal said that there is a need to improve the law and order situation in the national capital, adding that he will meet the victim's family on Wednesday.