In recent years, research activities in Italy concerning applied and industrial mathematics have been conducted by many scientists with different experience, from university, research institutions and industry. They addressed a number of specic subjects. Besides classical topics - such as fluid dynamics, elasticity, continuous mechanics - new problems have been considered, with application to a variety of situations and phenomena such as, for example, traffic modelling, hemodynamics, biofilms; moreover, a number of research projects of interest for the industry have also been developed.