OK got it. Here is a simple solution if you need something right away. You can purchase a Female 3/8 Npt to3/8 Compression fitting


This is not exactly perfect but if you put several layers of teflon tape on the fitting and then tighten only 1/2-1 turn it will work. The thread pitch is different by 1 thread per inch. So this fitting will go on a couple of turns easy and the bind up. But it should seal.
Then a male fitting of the same type on the other end (Water supply). The compression end of these fittings accepts the standard 3/8" hoses sold at the local hardware store. I think I remember this being the case in Toronto. Otherwise I can always get one of these for you and retap it for BSPP.
Bill