There is a huge difference between public and private health insurance in Paraguay. You would want private health insurance. Public health won't pay for much at all, and you will be asked to cover the cost of x-rays, medications, etc. Also, public hospitals are not anywhere near the quality of private hospitals or sanatorios. The best local hospitals in Asuncion are sanatorio San Roque, sanatorio Migone, hospital la Costa, etc. They can orient you as to how to purchase private health insurance in Asuncion. There are different plans and their coverage differ depending on how much you decide to pay and buy.