If the colour difference is extremely noticeable, it may not be anything to do with the profile settings. It sounds simple, but did you make sure the camera’s white balance setting was the same for all the shots? If it was in auto it’s pretty much guaranteed to have changed between takes causing the shots not to line up.
A simple fix (whether the error came from the colour profile or not) would be to do a quick colour correction. If you are using Final Cut to overlay your videos then you can use Final Cut’s inbuilt correction tools to do a few tweaks on the colours so that the seem between video layers becomes indistinguishable.
Hope this helps!
Head of Post Production