I've been talking to this girl I've known for a while lately, and at first she seemed really into me. She would often try and get a hold of me first, and would drop IOI's in conversation quite frequently.
However, she's started dating someone else recently and so her interest has dropped quite a bit from what it used to be. Obviously I really like this girl and don't want to just give up on her, but I understand that the beginning stages of relationships almost always come with a "honeymoon effect" where the couple starts to get to know each other and their attraction to one another is at its peak. That alone makes my situation a whole lot more difficult.

So is there anything I can do to bring back some of the attraction she had for me prior to this new relationship? Or should I just give up for now, and come back to her whenever her and her new guy friend are over?