Conversation about you

I overheard a conversation and when I confronted them about it they acted like they didn't know what I was talking about and denied it.

I don't know why people get like this then I said I have them record then they said yes but they didn't want to talk about it and that I was fighting arguing by bringing it up and they were defensive I just wanted to know why people can't talk about things if it's a conversation they had that included you they should be confident enough to discuss it.

So what would you do