In Moodle, we have created an "Advisor" course for every faculty member who has advisees in Banner, and the list of advisees enrolled in that course is automatically updated each morning as part of our integration between Banner and Moodle.
You can use the Scheduler Activity in Moodle to schedule appointments with your advisees, which we describe in this blog post.
You can also use the Quickmail block in Moodle to send an email message to all of your advisees, letting them know of upcoming deadlines (for example) or of the need to schedule an appointment with you. If you can’t find the Quickmail block in your "Advisor" course in Moodle, you can add it to your course following these instructions.