There's now an "Automations" tab for Asana that allows you to always assign a task to a channel that matches its Asana project.

By enabling this option, when you import an Asana task into Sunsama, you'll be able to tell which project it's been assigned to by looking at its channel.

A related improvement is that when browsing your Asana tasks in Sunsama, you can now see the project the Asana task is assigned to at the top of the task card.