Disclosed is a system for the personalised health monitoring of one or more patients at risk of vital function failure, or at risk of relapse or the recurrence of a medical condition, with the aim of automatically and effectively generating appropriate alerts to health professionals. The system includes one or more units for supplying an information system with monitoring information, one or more personalisation data items specific to individual patients, an information system running personalised monitoring programmes for individual patients and one or more units for alerting one or more health professionals and/or one or more carers when an alert is generated. Also disclosed are a device and a process for the personalised health monitoring of one or more patients at risk of vital function failure, or at risk of relapse or the recurrence of a medical condition.