The Central Bureau of Investigation, which has taken over the case since, is opposing bail of group CEO Ryan Pinto, and his parents, founding chairman Augustine Pinto and managing director Grace Pinto. The court today asked the agency to file a response on October 7.
Till then, no arrest can be made, the court said.
On September 9, Pradyuman was found outside the school's toilet, his throat had been slit. The police arrested Ashok Kumar, the conductor of a school bus. The man, the police said, has confessed to the murder and an attempt to sexually assault the child minutes before.
The police later said the school officials have claimed that the trustees had repeatedly ignored requests to upgrade security.
The Pintos, who are based in Mumbai, had earlier approached the Bombay High Court. After the court rejected their appeal, they went to the Punjab and Haryana High Court.