So I've known this girl as a stranger for years and this past week we actually interacted and chatted for an hour. She told me a lot about herself, and expressed interest in hanging out the next time we're at the program that we see each other at (which meets once a week). I could see this person becoming a friend that I won't regret the time I spend with her, except for one thing.
As it became relevant to our conversation, she told me that she was ADHD and had "some Asperger's". She was very open about these things, which I was glad about because it allowed me to ask some clarifying questions about how the conditions affected her. When I got home I did some research on Asperger's and found that a lot of what she told me about herself and the manner in which she said it was represented in the symptoms of Asperger's Syndrome.
The only thing that I found hard to work around about the interaction was that she rarely asked questions of me and when she did, she did not give me much time to fully answer before she interrupted with a (long) comment of her own. (I asked a lot of questions about her because I was genuinely interested to learn about her life.) But aside from this, I think she's decently socially aware. There are pauses in our conversation and I usually ask a question related to what we were talking about or one about a different subject.
I'm also not sure how well she does paying attention to and discussing deeper and more involved topics (e.g.* how people work/their motives, psychology, the theory behind personality types, highly sensitive people [HSPs]). If she can't talk about stuff on that level, then I question how well my time is being spent and will probably rather do work on my laptop which I will have to get done anyway.
*All of which I am extremely interested in and like to do research on in my free time.
Still, I don't think that this is a good way to establish a mutually satisfying friendship. Ideally, a mutually satisfying (rather than sufficient) friendship would consist of both parties discussing topics that they both enjoy exploring and both representing about 45-65% of the words spoken.
Other Relevant Details
She is deeply interested in Minecraft (I read that people with Asperger's tend to be deeply interested in narrow topics) and I have never played and have no interest to begin. So our topics of common interest are sparse.
She also has stomach problems, so she spends most of her day on the couch (doing school or playing Minecraft).
We are in high school and I am a senior and she is a freshman.
I would like to pursue a friendship with this girl, but I would like to talk about the things that interest me as well, not just about her. QUESTION: Is there a way that I can get her to let me talk during our conversations and steer it towards less superficial things?