I have been using VHI global as my health insurance here for the last 2 years, So far it has been ok but I haven't relied on it for anything yet. I would imagine since its a global policy and Switzerland plays ball (at least a little) with the EU these days, that you might be able to argue that based on Switzerland being EEA and there is free movement etc that we should be allowed to use our national insurer. I would say go with Global until the force you to change... ...and even if they try to force you still argue your case. The coverage fulfills Swiss requirements, the one place where you may lose out though is on GP fees.