Sorry to say this, but there isn't any way to do so as far as I know.
What you can do now, is to simply add your Gmail account to sync at-least your old contacts.
If your sync is not working properly, then do the following:
- Check that Internet connection is working properly on your phone, by resetting your mobile internet connection.
- If above solution isn't working then try restarting your phone after removing your SIM card for at-least 10 minutes.
- If the problem still persists then please contact your service centre for further help.