In the process of being friends again with my ex-gf (Advice Wanted)

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I'm currently trying to be friends again with my ex because I think we kinda missed the part before we became couple. We actually broke up months ago due to various reasons like no time, hard to see each other,3rd party and etc. It actually took quite some time for me to get over it. Now, she already has a new boyfriend and I'm still single. Despite the facts that we were actually couple, I don't know why I have a strong urge to be friends again with her. I think that it is always nice to have 1 more friend whom you can share everything with but it is just hard to tell her how I feel when we're on the phone. We've not seen each other in real life for months ever since we broke up. Sometimes, I just wish that I could go for a tea with her or something so we would be able to talk more. I have told her about it but she didn't give me any answers about it. I'm really bad at convincing others when it comes to this kind of situation. Would you guys mind to teach me what should I do to let her know what I'm thinking? I really don't wanna lose a friend like this.