Google "deep rapport".
I'm not usually big on PUA concepts but this is actually something that isn't based on your ability to do card tricks or pretend to be a fortune teller.
I believe it's all based on a study by Arthur Aron who developed what he called "The Sharing Game". You can find the study online if you want, but the long and the short of it is that this psychologist said that personal intimacy (aka, rapport) is facilitated most effectively with personal disclosure. So if you want the girl to feel some kind of connection with you, it will be helpful to get her telling you things about herself. The trick is, that the personal intimacy felt is directly related to the personal nature of the disclosure. So you don't want her telling you a bunch of fluff crap about her job and her dog, you want juicy details about who she actually is.
Aron decided the best way to get people to voluntarily disclose more personal information was to start by asking them very low risk questions and progressively escalating to much more high risk questions. This is an effective technique because after each question, the girl's investment in you has increased because the proportion of information she has revealed to you about herself has increased. Her self disclosure has gone up.
You can read the questions here:
http://www.pick-up-artist-forum.com/36-questions-in-45-minutes-make-any-2-people-fall-in-love-vt120045.html
Some have gone so far as to say that you can use those questions to make someone fall in love with you in 45 minutes. I don't think so. But I do think that if you are clever and a good communicator, you should be able to get the girl spilling her guts to you pretty easily if she's actually interested in you.