My thoughts are kudos to them if they can be civil and friendly. 

But. 

There’s no need to talk daily now is there? 

Youre right. There’s definitely some unresolved feelings here. And where do you fit in all of this? Are you just dog earring his life until he decides to try and work things out with BM? Think about it. 

Friendly I could see. But particularly when in another relationship... I do think there's such thing as TOO friendly...

I think Daily and anything personal is too much... Plus tbh daily about skids even is too much, it's like finding a way to insert each other into each other's lives...

I agree with momjeans, there seem to be unresolved feelings... 

I think some exes can genuinely be friends, good friends even, without there still being feelings.

You can also still love someone and realize you aren't good together. That doesn't mean they are still IN love or would cheat. It just means the level of caring is deeper.

I don't think it's wrong for men and women to be friends, either. I don't think it means they have some underlying sexual attraction. If that were the case, I'd be screwed because I'm bisexual.

So, unless his conversations with her are somehow interfering with your relationship, you have to figure out how to handle your own feelings. If they are flirting, that's a problem. Saying I love is a problem. Discussing relationship issues is a problem. However, asking BM how her SO is doing or catching up on a shared hobby or whatever platonic/polite conversation they have isn't something to raise alarm bells over. If they are more newly split, the phone calls will likely become fewer and fewer as they navigate life separately.

Then again, I'm far more liberal about this topic than others.

I would have a problem with it, but my BM is crazy. I agree that daily is just too much. 

My ex is my best friend.

we hang out together every week and I stay over regularly.

my partner, of 20 years, used to get antsy about it but now doesn't care. 

We trust each other.

But i DO NOT, and never have, called my ex every day. I call my partner everyday.

It didn't end well. Lots of drama. But we still care about each other and that will never change just because we aren't in love with each other. My partner and ex aren't friends. They tolerate each other.

i mentioned earlier that I don't call my ex everyday. I don't want or need to. I do call my partner everyday if we've missed each other that morning etc.

you mentioned that your partners ex has contacted you. She maybe playing games, keeping you onside. Or it could be nothing and she's friendly. Time will tell.