Still talking to an ex?

So my boyfriend still regularly talks to his ex, like I’m okay with them just texting here and there to see how things are because I know that if we broke up I would want to do the same, but they’ve been regularly chatting lately. We’ve only been together for two months and I don’t know how to feel about this. His ex and I were never really friends but she made all her friends hate on me for talking to her ex after they had been broken up for two months (so childish). It’s been over seven months since they broke up and she says she doesn’t care that we are together now but still goes out of her way to text my boyfriend a lot, and tries to get personal and talk about me and his relationship.

Should I say something to him about how it makes me uncomfortable and that I’m not really happy about them talking? Or do I just leave it... I’m not sure, please give me advice xx