It's not up to you whether or not she wishes to come home.
It most certainly is.
remember when you first met your girlfriend you were doing it in the backseat, the kitchen, on swingsets, maybe even on those steel guard rails on the side of the road. you could not get enough of eachother. there was something about you she wished she could keep getting more of.
It is completely up to you to be the person she wishes would take her back now. The allure of the rest of the world is too great. The parties rock, the attention is stimulating, telling people about yourself and finding out new and interesting things about other people is an ego boost. You need to be more enticing than that.
What is the other alternative to that? You beg her to come home, she sits on the couch giving you blank stares and mean looks, and short answers like she could care less, then goes off to do things by herself every chance she can. That is not a solution that is a greater problem.