This paper presents the progress of a prospective study for nine engineering faculties by 2035, which aims to identify possible, probable, desirable and commitment scenarios, as well as establishing research priorities in technologies, innovations, topics and new areas of academic interest. In order to do so, an alignment of methods and techniques related to the methodology of scenarios and methods of consultation to experts, such as the Delphi method, were used. Among the most important results is the identification and prioritization of more than 480 problems, 440 variables, 110 key variables, 40 clusters or thematic axes and more than 270 topics, technologies and innovations related to Engineering in Nanotechnology, Textile, Aerospace, Mechanics, Electrical, Electronics, Industrial, Mathematics, Information and communication technologies -ICTs, which will be inputs to face current and future issues, propose current and future projects , detect threats, raise hypotheses, generate future scenarios collectively and propose strategic objectives that impact institutional development plans directly and invite to establish strategies with the stakeholders of each engineering faculty for joint work from the present in the light of future challenges