Need to know what to do (other than giving time) to make this 10 who could be a possible girlfriend, to make her talk about her past and her family, because it is a touchy subject to her.

There are many useful ways to do this. The best way (and this is really, really good, because this is what happens naturally to those who make it work), is this:

You know something, anything about her past that she doesn't want to talk about right? Maybe it's something to do with her parents. So you know it's something to do with her parents.

So you say something like. "Yeah, I empathize, my parents always liked to give me a bit of tough love too."

Say something about yourself or your friend, and then mention "also" or "too", so you are presuming something about her, as if it were nothing.

THEN, now here is the magical part. She will say something like:

HB: "Oh no, it's not that...i mean it's just that my parents used to fight a lot..."

You: (Just respond with the same stuff until you two are freely talking about it. Example:) "It's hard isn't it? my mate Kerry's parents went through a divorce a few months ago and she said the hardest part was that they didn't seem to care about her"

HB: "Yeah...I mean my parents did care about me, it's just that it was always a bit blah blah blah (she is talking about it!!)

You see?

Don't always try and empathise and say "i'm sorry" or "That must've been real bad" etc, that just kills conversation and it's hard for her to respond. They much prefer it if you talk about it not as if she is dying.

Hope this helps buddy =)

Just say "Tell me about your past."

Why are you pushing this issue anyway? If she isn't opening up, its probably because she isn't COMFORTABLE with you yet.

My advice would be to use straight up interrogation techniques, sounds harsh but hear me out. The best way to do this is to connect on small talk, then steer the small talk (still keeping it light conversation to her past) eg you see a kid on a bike and say 'man, I haven't ridden a bike since I was tiny, we used to have this field ....... " then ask her what she used to get up to as a kid.
At this point listen to her response as it will be littered with little points you can get her to elaborate on, whilst keeping the guise of small talk. As with pua you will hit LMR this is the time to show a little bit of vulnerability, this should build trust and with a little more probing (possibly over a couple of days) you will get what you want.

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