This article compiles the investigations carried out by a Research Group of the University of Granada, Spain. Its different projects on writing's cognitive social and cultural processes have been supported by the Spanish Government. This line of research joined together linguistic, psychological, social and cultural contributions to the development of writing from the 1970s. Currently, this line of research develops in collaboration with other European Universities: (a) Interuniversity Centre for Research On Cognitive Processing in Natural and Artificial Systems (ECONA), "La Sapienza" University of Rome (Italy); (b) Anadolu University, (Eskisehir, Turkey); (c) Coimbra University (Portugal); (d) University of Zaragoza (Spain); (e) the Institute of Education of the University of London (United Kingdom). The aforementioned collaboration is materializing into projects like the International Master on Multilingual Writing: Cognitive, Intercultural and Technological Processes of Written Communication ( http://www.multilingualwriting.com ) and the International Congress: Writing in the twenty-first Century: Cognition, Multilinguisim and Technologies, held in Granada ( http://www.asprogrades.org ). This research line is focussed on the development of strategies in writing development, basic to train twenty-first century societies' citizens. In these societies, participation in production media, social exchange and the development of multilingual written communication skills through new computer technologies spread multicultural values. In order to fulfil the social exigencies, it is needed to have the collaboration of research groups for designing and applying international research projects.