Is there a Sim Card with reasonably priced local calls working across South America?

I'll be traveling across South America for a month. I'd like to buy a local-ish prepaid sim card upon arrival that I could use for local calls and casual internet access using my smartphone. I have a European unlocked phone, so no problem about that. Specifically, I'll first arrive in Ecuador, then continue to Peru, Bolivia and finally Chile for the last couple of days. It would be great to buy the card in Ecuador and use it throughout the journey instead of buying one at each place. The main criteria would be that I'd like to be able to receive calls and SMS for free, make some local calls for simple travel arrangements and have access to internet time to time for emails or looking for basic information. Is that possible, or is the only way to avoid hefty charges from my European provider to buy a separate sim card in every country?