The officers interrogated Chen Yun Hann in a room in a monastery in the presence of Gyngme Gyastro, an aide of the Karmapa.
The security around the Dalai Lama and the Karmapa has been tightened now.
The girl reportedly told the officers that she was in touch with a close aide of the Karmapa and had also been to Dharamshala in Himachal Pradesh, the headquarters of the Tibetan government-in-exile.