The Facebook instant messenger feature does not have a central location for storing past chat records. Facebook does save your recent chat conversations within the chat window itself. You can retrieve the chat information by looking through your chat contacts. If you want to store the Facebook chat for later, you'll need to copy and paste the information into a word processor file or similar program.
Open a web browser and navigate to Facebook.com. Click "Login." Log in with your username and password.
Click a person you have chatted with before in the "Friends on chat" section, or the chat bar in the lower right-hand corner of your screen.
Scroll through the saved chat log in the chat window. Facebook allows you to see the chat log until you choose to "Clear History," an option available directly through the chat window.