The Supreme Court on Thursday dismissed the plea of French national Marie Verhoeven Emmanuelle, who challenged her arrest and extradition proceedings with regard to her alleged involvement in the assassination of Senator Jaime Guzman Errazuriz in 1991.
Dismissing the plea, the apex court said the extradition treaty between India and Chile is valid.
Emmanuelle, who has been detained by the Indian authorities since February, has challenged her extradition.
A habeas corpus petition has been filed in the Supreme Court for Verhoeven's release from the Tihar Jail.
This comes after Verhoeven was arrested despite a judgment of the Delhi High Court holding her detention illegal.
Verhoeven was initially taken into custody by the Uttar Pradesh Police based on a red corner notice issued by Interpol for her involvement in the murder of Errazuriz.
She was then produced before the Additional Chief Metropolitan Magistrate in Delhi, who had ordered her provisional arrest under Section 34B of the Extradition Act, 1962.