Director Yaribeth Calvo reported that Hurtado made the request late last year.
"We took a reasonable amount of time to analyze the case, but she was not admitted to the program," he said.
The decision was forwarded to the National Immigration Service.
In July 2014, the Supreme Court overturned the decision to grant asylum to Hurtado that was given in December 2010.
That same month, Colombia requested the extradition of Hurtado for the second time. The request was denied due to the fact that it was no different from the original request.
Hurtado is accused of spying on judges, journalists, human rights activists and political adversaries of former President Álvaro Uribe. She has claimed the charges against her are politically-motivated.