I went out with some colleagues and it was like end of semester party/gathering.
I ended up bringing this girl back to my place.
Now next morning i walked her home and everything.
Shes texting me and stuff but i have no idea what to do.
shes asking if i remember that night, was i too drunk etcetc
i dont mind moving forward.
we're in some school group but we dont hang out too often
so how should i sort of ask her out?
what would be the most smooth way to sort of get to hang out with her again?
come over for drink? lets go get dinner?
i mean, its this really awkward moment now. like i only see her once a week for group meeting.

First of all you need to identify exactly what it is you want out of her. Just someone to fuck every now and then or potential girlfriend?

If it's the latter then you might want to reconsider. Generally chicks who give up the goods so easily aren't the best girlfriend material so suss her out before you jump all in and get to know this chick. Sometimes a decent chick that could be girlfriend material will do things like ONS, doesn't make them sluts or anything 'cause it happens but generally speaking women who do ONS tend to not be the best girlfriends. What i'm saying is just because she had a ONS kind of thing doesn't mean she's really like that. Just make sure if she's that kind of girl or not.

If she's just someone you want on the side then just hang out with her. Don't get too clingy but get her to hang out for drinks. If she asks about being your gf just stray from the conversation. It's simple.