Try Google

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@SOAK wrote:

foreign preparers must file paper returns otherwise?

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I could be wrong, but I don't think that is the case.

You need either a Social Security Number or an EIN in order to get an EFIN.

You should be able to get an EIN without a Social Security Number (although if you don't have an ITIN either, I don't think you can apply for the EIN online, so you'll need to apply for the EIN by fax or mail).

thanks Terry, that's helpful, it's obviously quite niche

apparently this firm does http://www.pdptax.com/services/foreign.html as they explain but are not responding 

No it is definitely possible and I presume more than 1 firm can offer this

This site seems to show all the steps and offers you an option to pay them to do the steps. https://www.entity.inc/blog/how-to-get-ein-non-resident/#:~:text=Yes.,with%20an%20SSN%20or%20ITIN).

I don't need an EIN & this procedure does not require one, my ultimate goal is to be able to e-file as a non-US citizen tax preparer

Do you have a PTIN? https://www.irs.gov/pub/irs-pdf/f8946.pdf

Yes (of course), I have been a tax preparer for 30 years

I would trust what @itonewbie says in this post. He was in Hong Kong and has moved to England. He had EFIN with both. 

Yes but he is a US citizen, I am not.

I am Irish living & working in Belgium, started with Deloitte's US expat tax practice in Brussels in 1995, have remained abroad doing US expat taxes ever since.

See form 8948 box 6.

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@SOAK wrote:

I don't need an EIN & this procedure does not require one, 

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At first glance, this IRS webpage disagrees with that.  It says "The firm may apply with the employer identification number (EIN) or the owners Social Security number as a sole proprietor."

https://www.irs.gov/e-file-providers/faqs-about-electronic-filing-identification-numbers-efin