I applied through other source. The process took 6 months. I interviewed at FAPESP (Edinburgh, Scotland) in Sept 2008
Interview
This is relatively simple: You should fill in all the docs on the website. But before, you should have found a laboratory, in SP, and you should convince the head of the lab to welcome you and your project.
In my case, it has been an informal interview, in person, during a congress (Sept 2007 not 2008).
As a post-doc, you have to write a project, which will go through several processes and several levels of assessments by professionals of the field.
Then, after 6-8 months, a formal answer will be given for a two-years contract (extensible for one more year but you have to go through the same process (a bit shorter, only 3 months, but the answer can be "no")).
Interview questions [1]
Question 1
Can you take a flight tomorrow, we have already booked the flight?