Met this girl about 5 months ago. We didn't start off on a right foot, but then we became friends and started hanging out. We mostly hang out in larger groups, but we went out 3-4 times all alone. I'm very attracted to her, so I confronted her. I told her that I was attracted to her and that I wondered if anything could happen. Her response was "I really like you" but, "I don't have romantic feelings for you." Then she implied how we should "hang out more", so that she can learn "more about me." She also said "whatever happens with us, I will embrace it with open arms." Saw her last night at a party and she sat right next to me, but barely even spoke. However, few days ago she invited me to hang out with her at the end of this month. Anyways, my question is.. should I play along or just put up a wall. I'm very attracted to her, but I think its purely physical.