Send multilingual emails notifications with Checkout Rules in Commerce module?
Look at Commerce Email:


  
  Adds a configuration page for the order email
  Email content can be entered into textarea/wysiwyg (if available) form
  Email content can also be set to be loaded from a template file: commerce-order-email.tpl.php
  Allows the insertion of the order items into the email, token addition: [commerce-email:order-items]
  Supports Commerce Shipping
  Allows different language versions of each email
  Optional administrator email