ReSSInt is a project funded by the Spanish Ministry of Science and Innovation aiming at investigating the use of Silent speech interfaces (SSIs) for restoring communication to individuals who have been deprived of the ability to speak. These interfaces capture non-acoustic biosignals generated during the speech production process and use them to predict the intended message. In the project two different biosignals are being investigated: electromyography (EMG) signals representing electrical activity driving the facial muscles and intracraneal electroencephalography (iEEG) neural signals captured by means of invasive electrodes implanted on the brain. From the whole spectrum of speech disorders which may affect a person’s voice, ReSSInt will address two particular conditions: (i) voice loss after total laryngectomy and (ii) neurodegenerative diseases and other traumatic injuries which may leave an individual paralyzed and, eventually, unable to speak. In this paper we describe the current status of the project as well as the problems and difficulties encountered in its development.