The actor is holidaying with girlfriend Gabriella Demetriades and three children, daughters Myraa and Mahikaa and son Arik.
The NCB, which questioned Rampal's partner Gabriella Demetriades on Wednesday and Thursday, has also arrested his friend Paul Bartel, an official of the central agency said.
Electronic gadgets were seized during the search at the house of the 47-year-old actor in suburban Mumbai.
The special Narcotic Drugs and Psychotropic Substances (NDPS) Act court on Saturday remanded Prasad to judicial custody till October 6.
While this is Gabriella's first child, Arjun has two daughters, 17-year-old Mahikaa and 14-year-old Myra with his estranged wife Mehr Jesia.
Arjun was previously married to former Miss India Mehr Jesia.
On Independence Day, a group of nine actors, models and sports personalities came together to pay their respects to the Indian Army in an unique way.