The JKLF chief is also facing charges of kidnapping and murder for being allegedly involved in abducting Rubaiya Sayeed, daughter of then Union Home Minister Mufti Mohammad Sayeed.
The petitioner said that Yasin Malik was not able to even speak when his lawyer met him on April 20 in a hospital in Delhi.
The match, joined by PDP activists, started at the Town Hall and went up to the District Magistrate's office.
Additional Sessions Judge Rakesh Syal also sought a reply from the defence counsel on a plea of Tihar jail authorities seeking to produce Malik through video conference due to security concerns.
Malik, who was shifted to Tihar jail under police protection, was taken into preventive custody in February by the Jammu and Kashmir police and shifted to Jammu's Kot Balwal jail.
Addressing a press conference here, Malik's family said they were not allowed to meet the separatist leader and that he has been in a hospital for the past four days.
Malik will be facing questions from the NIA related to funding of his organisation.
Malik was on Tuesday shifted to Delhi's Tihar Jail after the NIA secured his production remand in connection with the terror funding case.
Malik, who was arrested last month and shifted to Kot Balwal Jail in Jammu, will be facing questions related to funding of his organisation from the National Investigation Agency.
Banning the outfit under various provisions of the Unlawful Activities (Prevention) Act after a high-level meeting on security chaired by Prime Minister Narendra Modi.
The Centre's move comes after Islamabad invited separatist leaders to Pakistan's National Day event at the Pakistan High Commission in New Delhi on 23rd March, which India officially boycotted.
The NIA had on February 26 carried out searches at premises of separatist leaders, including the Mirwaiz, in connection with the case related to the financing of terrorist and separatist groups in J-K
Police detained JKLF chairman Mohammad Yasin Malik from his Maisuma residence in Srinagar on Friday evening. He was lodged in a local police station.
Though police termed the detentions as routine, officials said this is the first major crackdown on the organisation that is part of the Tehreek-e-Hurriyat, a separatist conglomerate
Jammu and Kashmir crackdown: Jamaat-e-Islami leader Abdul Hamid Fayaz and Yasin Malik among 12 detained
The Jamaat termed the raids as 'fishy' at a time when the Supreme Court is to hear a petition regarding Article 35A of the Constitution, which grants special status to Jammu and Kashmir.