How to convince someone they want a relationship?

So a few days ago I went on a night out with a friend of mine and we ended up hooking up. We were both very drunk but it was quite good. I asked her how she felt about it and she basically said "sex is good, but I don't want to rush into a relationship right now, it took me 6 months of 'dating' to get with my ex. We should keep it casual"

I'm chill with it but obviously I do want to get to know her and it kinda annoys me a bit that she will most likely be sleeping around, so is there any way I could convince her to want to try a relationship with me?