Should a guy let his ex-girlfriend call and catch up on each others lives when he lives and loves you?

Why will my boyfriend tell his ex-girlfriend to stop calling him. Can they be just friends, when he claims he loves me and has no feeling for her. Why is so important that they catch up with each other's lives every other month or more?

Why would you? Do you enjoy her boasting about how wonderful her life is with out you in it. She just wants to keep you at armes length to monitor how you are progressing. Then when you get close to someone BANG she drops back in.
NO CONTACT. Get on with your life and let her get on with hers.
The only reason you may want this is on the off chance she may ask you back and while you are waiting, she is moving on controlling the contact. Mate, give it a miss. You will thank yourself in the long run.
I did (4 Months), found a beautiful younger lady who is my dream 2 months ago. My ex doesn't know nor shall she unless she stubbles across us. She lives 2 hours away so I doubt it (as well as I went off the face of the earth with her).
She doesn't need the pain and neither do you. If she finds out it won't be from your doing.
Mate just move on. Trust me.

I think you're somewhat confused, Aust.

SHE is mad because her BOYFRIEND talks to HIS ex.

Honey... what you do or feel about it is up to you. I'm friends with nearly all of my exes, and my husband is okay with that. HOWEVER--nothing is hidden from him. My friends (my exes) come over and hang out with the both of us, or they're part of a group of friends we get together with occasionally--some of them I talk to once a month, some of them once a week, some of them once every 4 years!

If you can't stand it, then he either needs to respect your wishes, or you need to move on from him. If you don't talk to him and work out a solution with him, your relationship is in major trouble--You don't trust him, and he's mad because you don't trust him, no matter how justified either one of you are, it will destroy your relationship from the inside.

Sorry, I was wrong.
Hell no don't put up with that crap. She is just keeping her options open.