It's the same machine. Brand (Breville, Solis, Stollar, Gastroback, ...) and model names differ from country to country. Equivalent model from Breville is BES870XL. What I've also found out is that included accessories are not the same: Breville BES870XL should come with both, pressurized and non-pressurized portafilters; my Solis Typ 115 only had non-pressurized included.

I am not sure to which breville espresso machine you compared it. I had a quick look on Amazon and I would say they are not the same. The weight if the solic machine with coffee grinder is more than 10 kgs. So almost twice the weight. This machine is very solidly built and from a swiss company. As far as I am aware breville and solis are not connected