I have these same pieces (unless the pot is a different size, mine's 11.5cm Dia.) and from what I've seen on GTS, have thought they might either be Libochovice or Roscice.
I've not thought of them as Reich, as Reich only produced one set (8974), that looks anything similar. I have wondered if that set, ascribed to the 30's might be mis-placed?
My thinking was that this Mystery set is probably Czech, but more likely Libochovice or Roscice, both of whom are shown to have made similar thick heavy sets. Often with elaborately lobed trays, "futuristic" candlesticks and fantastic finials. All dated to the 50's, and overwhelmingly only found in clear glass. (Another reason for my thinking the 8974 set might be mis-placed as it's among a series of more delicate and colourful 30's pieces).
My only qualms about my reasoning to date is that with one exception these hefty sets come with tray, candlesticks, two sizes of bowl and ring holder. It seems strange that although the pieces shown seem easy enough to find, the other pieces are not. So perhaps it's none of the above.