I have crush on a girl. I confessed my love to her and she rejected saying that she is already in love with some one else. But she continues talking to me as usual and moves closely. She even touches me sometimes. Many times I stopped talking to her for days to stay away from her, but then she took initiative and started talking to me. She always refuses to hang out with me. Never calls or text, but if I do she would respond. Once she even invited me to her house. Not able to understand this girl. Please help.

She wants to be your friend. That's all.

You want to believe that she loves you, but she told you that she doesn't. If you can't be just friends with this girl, if everything she does makes you think you have a chance, when she's been nothing but honest with you about her feelings, than tell her that you can't be her friend, that your feelings for her are getting in the way of a friendship.

I know the situation. Funny it happened to me too.I was same like that girl.
To tell you the truth I think the girl is not interested in you.she just needs you as a close friend.but she never calls you and texts you because she don't want you getting the wrong idea.The talks and touches are just friendly affectionate methods.Don't take it seriously

You have confused signs of friendship with love signs is all. Stop contacting her until you are not confused about her friendly intentions and can be a friend. That may take a long time to get your own feelings under control.

That's for you to do, NOT her.