Dove Hunting is available at: Argentina Uruguay Paraguay Mexico South Africa Dove Hunting Dove hunting is available in many countries around the world from South Africa to Mexico and from North America to South America. However, there is no one word to describe the dove hunting found in Argentina. There is no season and no limit to the amount of doves one can shoot while experiencing this “incredible” hunt. Give us a call to book your preferred dates for the wingshooting trip of a lifetime.