When you're on the go, ask Siri to create a task that pushes the Reminders app on your iOS device.
You can configure reminders to integrate with Daylite. Tasks from your worklist and inbox can be shared directly with the reminders app on your iPhone or iPad.
Apple reminders are automatically configured through the Calendar application (once Calendar sharing is set up, a reminder will display notifications in Notification Centre).
Review the related article on setting up Calendar Sharing (CalDAV). Once set up, you can use Siri to create Tasks for Daylite.