Franchesco, one of the changes we're making in the next release of the Mac app is to enable Projects to appear in context mode. Previously, they wouldn't show up there.
You may want to try your perspective in our most recent Sneaky Peek build; I believe it does what you want. You can grab it from
this page.
If your context still isn't showing you the items you need to see, let us know and we'll be happy to help.