All tasks in Podio can be set as repeating tasks. Set the repeating option when you create a new task or when you're editing an old task. See the screenshot below.
As you see in the screenshot, you can select which day the task should repeat on, and the frequency of the repeat.
Note: Only the next occurring task will show up on your task list and calendar. The next task will be scheduled and added to your list and calendar after the current task is completed.