The girl, 18, was using a public telephone box in the Blaris Park area on Sunday 27 January at around 10.50pm when a foreign man held her inside against her will.
He forcibly held the door closed from the outside and demanded money from the victim.
A police spokeswoman said that he was disturbed by a passerby and ran off empty handed.
"The young woman was not injured but was left shaken by the incident," she added.
The man is described as in his late 20s or early 30s, approximately 5ft 4in - 5ft 5in tall, and extremely slim. He had swarthy skin, an oval face with sunken eyes and a pointed chin.
It is believed that he was wearing a dark coloured hoody with the hood up and had two gold chains around his neck.
Police are keen to trace the man and are asking anyone who recognises the evofit as someone they know or who they have seen before, to contact them.