Show me a DVD or BR player and a TV that makes use of embedded color profiles. AFAIK these do not exist, so the short answer is NO, it is not possible.
you don't seem to know much about this matter...
No, I'm one of the most well known nitwits around here. OTOH you don't seem to understand display devices, DVD or BR.
I would like to ask this:
I want to export my project and in such a way that the final clip to look the same in every monitor (PC, Mac, TV, even film).
This isn't possible. Just about every monitor has display settings that can defeat whatever your intention was to view it. This especially goes for digital TVs that have different viewing modes, and Never Twice the Same Color, NTSC.
The Color Management in Ae is extremely untrustworthy (in many professional opinions), and I'd guess that most people using Ae turn it off completely, and instead use LUTs with their monitor, with the possible exception of people doing film outs.
You can never use After effects to render the whole movie.
I think the best you can hope for is to color your project on a high quality calibrated monitor, and just wish and hope that people down line have made a similar attempt to set up their display devices properly.
Guys, it can be done. There is no doupt about that. Have a look at this tutorial. I am not asking whether it can be done or not. I know it can be done..... I just asked if it can be done with Premiere.
No. Not on DVD, not on BR,
I think that you're misunderstanding how color management works in general. But, before addressing that, here's the simple statement: Premiere Pro does not do color management.
OK, so about that misunderstanding: You don't need to embed a color profile to use color management. The way that color management works is that you tell the color-managed application (e.g., After Effects) what kind of output device you're targeting, and it creates RGB/YUV values in the output such that the colors appear as you intend on that single kind of device.
Yes, you can embed a color profile, but that is for handing off files between post-production applications, so that you can tell another application (e.g., Photoshop) about that rendering intent mentioned above. A DVD player will not read or use an embedded color profile; it just reads the the RGB/YUV values and displays them in its own color space---which you allowed for by creating the color values from a color-managed application.
(BTW, I'm the one who created the video that you linked to.)
I am only interested in creating a project and be sure that when I play it on my HDTV, I will watch exactly the same colors. I don't need to embed a color profile. I will just choose my output device I am targeting, as you said, and that's all.
I just wanted to know if that can be done in premiere because after effects is not suitable for a whole movie final editing and exporting. That's why I asked if the color profile can pass to Premiere through metadata, but it cannot.
By the way the tutorial was very enlightening!
I would like to ask though, since you know a lot about such matters (by saying that I am not being aggressive to Harm Millaard, who has a very very good spherical knowledge, since his responses have helped me a lot in several issues) If there is a way to ensure that color, gamma and contrast quality of a Premiere project can be reflected exactly as it is on other output devices (TV and especialy film), or the only thing we can do is just be sure to be whithin safe broadcasts limits.
Note what Jim said above about color management not being very useful for television, because there are so many settings that the user can tweak on their set (not to mention other parts of the system along the way).
The best that you can realistically do is to monitor/preview your colors on a broadcast monitor as you work and then do a final check of your output on a device of the same sort that you expect your end-users to use.
If you do want to use color management, you can create a master out of Premiere Pro and then bring that through After Effects for creation of multiple outputs for various output devices---but that isn't necessary for a single output like HDTV.