At least here in Europe 95% of 10W-40 PCMOs are Syn-Blends, and most by now are API SN, however i believe most of our syn-blends are Group I + Group III, i recall seeing a chart that basically said most have 20-25% Synthetic in them.
With that being said there are a few full synthetics too, from brands like Motul, Rowe, Repsol or Millers.
I don't know of a single conventional 10W-40 though.