In this paper we investigate the implications of permitting parallel imports of pharmaceuticals produced by a monopoly, from one country to another. We use a model where countries differ in the patients' level of co-payment for buying pharmaceuticals, and patients differ in the utility obtained from the consumption of pharmaceuticals. We show that the effects of parallel imports on total welfare are as follows: On the one hand, when countries differ in their health system only, parallel imports decrease total welfare; On the other hand, when countries differ in the health needs of their patients only, parallel imports enhance total welfare.