How to convert MULTIPLE PNGs with embedded colors (such as CIE RGB) to RGB (aka sRGB IEC61966-2.1)

A note on terminology: 

RGB (aka sRGB IEC61966-2.1)

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RGB is not known as sRGB. 

sRGB is one RGB Color Space, that it is the de facto standard for web use does not make it the RGB. 

Hi, why not create an Action in PS to convert the desired ICC profile,

next create a Batch routine

File > Automate > Batch 

that can then be applied to a folder with the images

I hope this helps
neil barstow, colourmanagement net :: adobe forum volunteer
google me "neil barstow colourmanagement" for lots of free articles on colour management
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You can create an Action in PS to convert the profile, then create a Batch routine (File > Automate > Batch) to apply that action to a folder full of images and either resave as same or different name as your own desire.

My big question is, why bother? sRGB is a smaller gamut than CIERGB, so you'll have less latitude for changes in AE.

And my other question: Is there a possible way I can do them with transparent PNGs all at once too without PhotoShop CS6 creating a white block in the middle of the two image layers?

That Color Policy is set to Convert, so that's all you have to do (not sure you really want to, that's a different story). You could alter your color settings only to convert automatically on open without popping that dialog which would speed things up for you, a conversion will still take place, you'll have to save the documents after conversion of course. Just turn OFF the Profile Mismatch check box (Ask when opening), then that dialog you show will not pop, keep the RGB policy to Convert to Working RGB (which you have set to sRGB). The documents will open after conversion to sRGB.