The immigration hearing was held on schedule but the judge denied a bond, and ordered voluntary departure under safeguard till he leaves the United States of America.
Kumar has been asked to leave within 90 days.
Voluntary bond means that his departure as an alien from the US would be without an order of removal.
Kumar is allowed to voluntarily depart if he concedes removability but does not have a bar to seeking admission at a port-of-entry at any time.
However, failure to depart within the time would result in a fine and a 10-year bar to several forms of relief from deportation. And if he does not depart within the 90-day period he will be deported.
However, his departure primarily depends on his criminal case hearing on September 8.
Unless the case is dismissed he cannot leave. If his case is resolved within four months, he can leave voluntarily and can ask to return.
Till then the judge has asked him to be in immigration custody.
Kumar has not yet been charged by the immigration judge.
Kumar bonded out on August 23 and surrendered his passport to Harris County officials as a condition for his bail. When released, Kumar's visa was revoked.
He was then detained by immigration and customs enforcement, because he had neither a passport nor a visa.
At a hearing on Thursday, a federal immigration judge refused to set a bail for Kumar. Federal officials would not say why Kumar's visa was revoked.
John Connolly, assistant agent in charge of ICE in Houston, said that Kumar is not the subject of a homeland security investigation.
Kumar turned down an offer to plead guilty in exchange for time served because he did not want to jeopardise his chances to return to America, Scheiner said.
Now he faces the same dilemma.
If his case is resolved within four months, he can leave voluntarily and can ask to return.
If the case takes longer, he will be deported after it is complete, squelching his chances to return.
Kumar, 40, a resident of Malad in northern Mumbai, was detained at Houston international airport for allegedly carrying brass knuckles and jihadist literature in his luggage and has been in federal custody since last week. Kumar could get a jail term of up to 10 years if convicted.
Indian detained in US with jihadi material gets bail
'Vijay Kumar is a committed nationalist, not terrorist'
Indian held at Houston airport with jihadi material
In pictures, Mumbai's 'Govindas' in action
Spotted: Gauhar Khan in Delhi