Sooraj, who is in judicial custody till June 27, has been charged with abetting the suicide of Bollywood actress Nafisa alias Jiah Khan.
When the bail plea came up for hearing Friday, the court asked police to file its reply and posted the matter for further hearing June 21.
Accordingly, Sooraj will remain in the Arthur Road Central Jail till the bail plea comes up for hearing.
A former boyfriend of Jiah, Sooraj, 22, was arrested June 10 after her family handed over a letter which was found three days after the actress' suicide June 3.
The letter spoke of her strained relationship with Sooraj and how she was deeply hurt as she had to abort their baby.
Sooraj is the son of Bollywood actors Aditya Pancholi and Zarina Wahab and was involved romantically with Jiah for over a year.
On Tuesday, a day after his arrest, Sooraj was sent to police custody till Thursday and then remanded to judicial custody till June 27.