They had fled across the border to Bangladesh amid heavy fighting between the Myanmar military and rebel insurgents in Rakhine
Dhaka Metropolitan Magistrate Rajesh Choudhury issued the remand order on Sunday after rejecting Shahed's bail plea.
Shahed was produced before the court at the end of a 10-day remand in a case over a COVID-19 test scam involving Regent Hospital.
The detective police subsequently sought permission to interrogate him for 10 days in each of the cases. But the court later placed him on a 7-day remand in each.