 He has also lectures in many universities, institutes and research centers in countries as wide ranging as Chile, Argentina, France, Spain, Russia, India, 
Romania, United States, Portugal, Italy, Belgium.Conca served as chairman and organizer of the 2nd Congress of Franco-Chilean and Latin American Applied Mathematics, in Santiago in December 1988.From 2002, he is the only Latin American mathematician named Member of the Publishing Committee of the noted scientific journal "Mathematical Models and Methods in Applied Sciences", World Scientific Publishing Co Ltd., New York/London.