I think it doesn't have to feel like an interrogation, otherwise she feels too much pressure in the beginning.
Immediately after the opening, I try to either have some minutes of playful banter or to position myself as high-status intriguing man. When I see she is actually investing in the interaction, then I start to ask questions. I tend to ask questions that allow her to talk a lot about herself, then I ask "subquestions" related to what she's already talking about that make the whole conversation look like it's "flowing naturally". There's an emotional interaction going on that is far more important than the words you are using.
When after the opening and some minutes of "post-opening" I don't see enough investment I don't really proceed to deep diving, I move on, approach others, and maybe have the girl I was talking to before see me with another girl.
Lately I have also been working on pre-opening, it's much more important than what I thought.
