Where are you now ?
Argentina, it is compulsory to enter the country with the bike.
Chile it isn't, in fact Chile do not seem to be able to sell you insurance for a foreign bike in Chile.
However, if you are in Chile, they *will* sell you insurance for Argentina :-). Go to Ripley or Fallabella and they will be able to do it.
The others I don't know.
It would also be easier if you told people where you are now :-)