Should I contact him or give up ?

Hello everybody ! I need some advices, inputs, insights... any kind of thought ! Here my story, will try to make it short ! 2 months ago, my ex broke up with me after a 3 years relationship. I was devastated but I did everything I could to try to move on. Kept busy, taking care of myself and seeing my dear friends. I've been working hard on myself and my issues to change and be happy. At the same time, a lot of things happened in my life and it's like everything (almost) is changing. I feel different and even good I have to say. But recently, I am thinking about contacting my ex , to say hi, to have some news and also because after 3 years I think it's just stupid to become strangers. We almost had no contact during those 2 month. I just sent him a formal mail about a concert (at his bar) I was going to (he replied). Then we saw each other at the concert. He was working, I just went to say hi, he gave me few free drinks and then hug me when I left after the concert. But we almost didn't talk. It was few weeks after the break up. Then few weeks after that I felt the need to write him a mail. I told him all I couldn't say when we broke up. No hard feelings, just saying I was grateful for the time we shared and wishing him all the best. He didn't reply but I wasn't really expected one. I did that for myself as a part of the letting-go process. Anyway, I realised that I wanna share all those things happening in my life recently. And when I look back at the relationship (happens sometimes) I really feel we started the wrong foot . I have considered our relationship from a different angle and with hindsight and I can clearly see now all the mistakes I made. I am not putting all the blame on me right, but it's true it takes 2 people for a break up. And I know now what I did wrong. And it certainly palyed a part in his decision to end our relationship. But I still believe we could have something great and new. But is it just denial or me being blind or smething ? Is it ok to contact him ? Or should I just forget about it ? Thank you for reading me ^^ PS: English is not my mother tongue so sorry if my english is weird or if I made some mistakes. I tried to be as clear as possible.

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