Khobragade's departure from the US, State Department spokesperson Jen Psaki said, does not change the charges against the 39-year-old diplomat.
"Her name would be placed in visa and immigration lookout systems to prevent the routine issuance of any future visa and upon her departure a warrant may be issued for her arrest," she said.
From the comments made by the State Department spokesperson, it is clear that Khobragade is being virtually treated as a 'persona non grata' and may be permitted to visit the US only to subject herself to the jurisdiction of court.
The US has said that Khobragade, who returned to New Delhi, no longer enjoys immunity and an arrest warrant might be issued against her.
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"Prior to her (Khobragade) departure, it was conveyed to her and to the government of India that she is not permitted to return to the United States except to submit to the jurisdiction of the court.
On Thursday, Khobragade was indicted in a New York court on two counts of visa fraud and misrepresentation of facts.
Arrested on December 12, Khobragade was strip-searched and held with criminals, triggering a row between the two sides with India retaliating by downgrading privileges of certain category of US diplomats among other steps.