The Beast of Baltinglass is under round-the-clock garda surveillance as he waits to receive new travel documents.
The suspect serial killer was forced to contact Spanish police to report that a prostitute fled with his belongings.
It is understood that Murphy (46) was doing odd jobs in the Costa Brava resort of Girona whilst availing of the services of local vice-girls.
Brutal Murphy had spent the last eight months keeping a low profile but was forced to communicate with police in order to report the theft of his belongings.
Police were initially unaware of his horrific crimes and after doing a background check on Murphy, they discovered he was labelled as a sex offender.
Some 34 students from a Kilkenny secondary school were said to be terrified to discover that they were just metres away from the rapist aboard a flight back to Dublin last week.
One concerned father said that passengers should be alerted to the presence of sex criminals before boarding any flight.
"A parent of any child wouldn't be too happy if they knew he was on that flight. If you take a flight, you just don't know who's going to be on it.
"Kids should be alerted or parents should be made aware of who's going to be on their flight. Rearing a daughter of 16 or 17 years of age, and with six or seven women still missing, and he's around, it's not good."
Murphy served 10 years of a 15-year sentence for the brutal rape and attempted murder of a woman in the Wicklow Mountains 11 years ago. He is also a suspect in the disappearance of several young women in the 1990s.
Gardai expect him to return to Spain once his new passport is processed.
His Ryanair flight touched down at Dublin Airport last week where Murphy was greeted by his main confidante in Ireland, prison chaplain Fr Ciaran Enright. Murphy is believed to be staying in a Dublin B&B before he jets back to Spain.