I wouldn't use a spell to bring back a friendship. It is kind of like this: Love is natural-if not, love is not love. Some how get the chance to talk to her. If she still wont let you, force her to in a friendly way. I agree that you should make her laugh somehow.
But you are still friends, no matter how many fights you have had. Me and my friend looked back and made fun of our fights. We don't get so mad; we are happy people.
But it all depends on why you had the fight. Well it doesnt, but it might help more. So you can think of some good apologies. But I can help you more if you say what you fought about.
You don't have to tell me--or us--it may seem a little personal. But think about you and your friend. I wouldnt get magic involved. Like I said, I look back at my fights with my friend as a joke.
You should too, it will lighten up your mood.