We carried out conductometric titrations of Extremely Diluted Solutions (EDS), obtained through an iterative process of successive dilutions and agitations. The aim of our investigations was to gain information on whether the agitation/dilution processes could produce non-equilibrium changes in the supramolecular structure of water and aqueous solutions. The titrations were performed by adding HCl solutions at concentrations between 1·10− 4 and 1·10− 3 M. The measurements evidenced some relevant differences between the EDS and the water solvent. Such results were interpreted by considering the interactions that can take place between the H+ ions and some hypothesized molecular aggregates of water molecules, i.e. dissipative structures.