My ex boyfriend broke up with me but I still believes that he likes me. He's always trying to contact me after what he did.

When he contact's you does he ask you to do stuff with him? Do you still talk to him a lot after your break up? There wasn't a detailed questioned given, so I can't really give you a detailed answer. But I think if he keeps trying to contact you, he might still have feelings for you, because why else would he want to get in touch with you if wasn't to rekindle the relationship you guys had? There is a possibility he wants to remain friends, but if you have any further information you want to share, we would love to help.

Why is he contacting you?
Why did he break up with you?

There has to be something that happened to make you guys break up! I would ask your Ex straight out why he is contacting you and is he looking to be friends or hock back up. Just be careful that you don't set yourself up for a fall! Good luck

What did he "do?" If he keeps trying to contact you then there's probably a degree of interest. It's up to you whether you want to respond or not. I'd advise you to be somewhat aloof and not too available to him.