Someone please answer the question: should I even try?

My ex-best friend and I had a falling out. More like she broke up with me because:

1. we werent really talking much - she though this was not a big deal

2. I slept with my really good guy friend– who was her ex- 2 years ago

3. she told me it didnt matter to her but later freaked out and told me I had done her wrong.

4. I refused to apologize because I dont think I did anything wrong at all- she hated this and said she had no more words for me

5. I didnt feel bad at all.

Anyways, so here is the question. I have no hard feelings towards her. For goodness sakes we know each other for 7 years, still probably care a little for each other, but have become fundamentally different people. Before the summer is over and we both move back to other states I was wondering if it was a good idea to call her up and arrange drinks? Dinner? I dont know why…I am not begging to be in her life at all again,but maybe just want a better to ending to our long friendship? I dont know what she would say because she has changed so much.

Whatta ya guys think?