I would like to tell him or her something about myself in the invitation. I love reading, movie and music. If you want to find a language partner who wants to share some learning tips, do count me in.

You should give them some of your own info. Such as your name, your interest.

Introduce yourself first, tell them some of your intersts, then tell them why you are interested in being their friend. If you want to learn a language from them, you should them them. For example, Hi, my name is DaBing. I'm _ years old. My interests are swimming, basketball, and etc. I would like to be your friend because I want to learn English from you. can't think of anything else. I'll tell u later. =D