Hi guys -
[I've answered my own question below - The fourth answer. One of the previous answers had a good hint in it - but not enough for the solution].
Has anyone posted a video via the Facebook Connect API to their profile / feed page?
Ideally, the video should be queued to the first frame with the superimposed Facebook's blue right arrow "play" button. Or if a thumbnail representing the video has to also be uploaded (rather than the video being queued to the first frame) as well, this is fine.
Also, when the video, or thumbnail, on the profile page is clicked, the video plays where it is - rather than going to another page off Facebook to be played there.
Thanks guys, ~Aki