The invention relates to a disease-screening method using samples taken from an individual, said method being implemented by a screening implementation module (2) and being characterized in that it comprises the following steps: storage of a set of data relating to an individual in a database (5) of the screening implementation module, said set of data comprising the individual's remote transmission contact details, and additional data (DS) relating to the individual including the individual's age, and/or data relating to the date and/or to the result of at least one earlier screening relating to the individual, and/or data relating to risk factors associated with the individual, and/or data relating to the individual's vaccination; and remote transmission, from the screening implementation module to the individual's remote transmission contact details, of a message scheduling a future screening to be performed by the individual. Moreover, said screening implementation module also determines the content of the scheduling message and/or the moment at which the message is remotely transmitted according to at least the additional date relating to the individual.