The Amazon Fire TV and streaming stick will work with the Slingbox 350, Slingbox M1, and the Slingbox 500.
For more information on how to view on a TV at a remote location, take a look at this link below.
I just bought a Slingbox 500 and am trying to figure out how to watch on a TV in Italy. It works fine on a computer, but for a TV I would like to use a Fire TV or Fire Stick. Does anybody know if this will work? Or is there some other device that I could use? I would rather not have to hook up the computer to the TV or stream through another device such as a phone or iPad, so I thought a Fire TV would be the answer. I just don't know if it will function properly in Italy.