Post-Breakup Advice: Friends with your Ex

So about 4-5 months ago my boyfriend of 7 months broke up with me. We were good friends who stereotypically fell for eachother but at the time I knew we were heading for a break up and I took it in stride, so when he suggested we remain friends and continue to 'hang out and stuff' I declined and let him know I was no longer going to see him anymore. I explained that cutting him out was more for me than against him and that if I was going to completely get over it I had to let him go. He did not take it well. Well fastward I dealt with his childishness by being completely silent (with one or two failed reactions) as he reacted by pointing and probing my patience in small but obvious hurtful ways until he finally started dating another girl who he knew I had a problem with while we were dating. They had a past and I could accept that I had no real right to be upset about it and decided to cut him off completely (unfriend through social media). Now months later I've received a text message from him apologizing for the way he treated me while dating and for not considering my feelings afterwards. He says he misses my friendship because we always had fun together before and after we dated and he wants to try to be friends again. To be honest I do miss his friendship. There's times when I want to reach out to him about something going on in my life but a part of me can't decide if it's the right thing to do.

My question: Is it worth it? Should I try and make peace with him?