Police brought them from Vellore jail and produced before Judicial Magistrate Court Magistrate N Vijayalakshmi amid tight security.
The duo were arreseted in connection with the July 19 murder of BJP state general secretary V Ramesh.
The magistrate allowed the police application for the remand, rejecting the objections of the counsel for the accused that they have already been subjected to investigation and there was no need for fresh remand.
Outside the court, heated arguments were witnessed between police and mediapersons, who were not allowed inside.
Ismail and Malik were nabbed at Putur on the Tamil Nadu-Andhra Pradesh border on October 5 in a joint operation by police forces of both states.
