ICAO uses 9905 which is virtually the same for the approach design, but different in that it has a level section (SOC) for the missed approach surface, 8260.52 does not...
8260.52A is supposed to be ICAO compliant, but I havent seen this floating around for years.
Some agencies such as NavCanada, CASA, and others have allowed the use of 8260.52, with an exemption, mostly keeping the RNP at the same level as approach, not jumping to RNP 1 for the missed. (which frequently catches the tower, and drives the DA even higher)
We were trying to get WestJet certified to use the Alaska Airlines RNP procedure into PSP, which as you know, is a custom RNP criteria... There is a public RNP into PSP, but last I heard, ATC would not clear anyone to use it, but that may have changed.
The reason we were told by the FAA why foreign carriers cannot, is that the US airports are not ICAO certified, and in accordance with the Chicago Convention of 1944, PSP or whichever airport, would have to be ICAO certified....
Seems odd, but that is what we were told...