Hey there,
I was wondering this also, although I'm with Quinn which don't have a global policy as far as I know and so presumably switching to VHI global (even if accepted as coverage in Switzerland) might not be accepted in my case as it would not be considered switching over from an "existing policy".
My case is slightly different and a bit complex as my husband has moved over to Switzerland, has registered and has signed up for full insurance coverage, whereas I have not moved over yet and will be back and forth for the foreseeable future due to health reasons and want to stay resident in Ireland for reasons related to same.
I'm not sure if I'm obliged to register as a resident over there because of my husband's residency status or if I can continue as is without registering at all until I move over full-time. It's a bit of a minefield and I guess i should get professional advice as to all the implications but money is quite tight at the moment so will have to hold off until the New Year.
I imagine so long as I am spending more time in Ireland than Switzerland it might be fine, however there could be repercussions for my husband's tax status if I'm not resident also. Oh lordy, brain melted but sure it will all work out in the end

, me hopes!
In your case however I imagine it is very much dependent on your length of stay and residency status in the country.
Hope you can find a loop hole and not have to pay all the arrears.
Best of luck