An electronic protection device for electric power distribution grids, said electronic protection device being adapted to control one or more switching devices in an electric power distribution grid and being capable of communicating, at local level, with one or more sensors or electronic devices of said electric power distribution grid and, at remote level, with a remote computerised platform, said electronic protection device being adapted to receive first grid monitoring data indicative of physical quantities related to the operation of said electric power distribution grid from said sensors or electronic devices, said first grid monitoring data including at least measured values (IL k) indicative of at least a line current flowing along at least an electric line of said electric power distribution grid, the protection device being adapted to carry out a predictive monitoring procedure of the operating conditions of said electric power distribution grid, said predictive monitoring procedure including the following steps: - basing at least on said first grid monitoring data, calculating grid data sets indicative of the behaviour of said electric power distribution grid in a first time interval preceding a reference instant (t 0), each data set (DS k) including at least a measured value (IL k) indicative of said line current and monitored at a corresponding instant (t k) of said first time interval the protection device characterized in that it is adapted to further carry out the steps of: - basing on said grid data sets, calculating a joint probability distribution function indicative of the behaviour said line current in a second time interval following said reference instant (t 0), said joint probability distribution function being calculated basing on a predictive calculation model or function; - basing on said joint probability distribution function, calculating a probability value (P OL) indicative of the probability that said line current causes a trip intervention of said electronic protection device in said second time interval, according to a given reference tripping curve; - comparing said probability value (P OL) with a predefined probability threshold value (P TH). - basing at least on said first grid monitoring data, calculating grid data sets indicative of the behaviour of said electric power distribution grid in a first time interval preceding a reference instant (t 0), each data set (DS k) including at least a measured value (IL k) indicative of said line current and monitored at a corresponding instant (t k) of said first time interval the protection device characterized in that it is adapted to further carry out the steps of: - basing on said grid data sets, calculating a joint probability distribution function indicative of the behaviour said line current in a second time interval following said reference instant (t 0), said joint probability distribution function being calculated basing on a predictive calculation model or function; - basing on said joint probability distribution function, calculating a probability value (P OL) indicative of the probability that said line current causes a trip intervention of said electronic protection device in said second time interval, according to a given reference tripping curve; - comparing said probability value (P OL) with a predefined probability threshold value (P TH). - basing on said grid data sets, calculating a joint probability distribution function indicative of the behaviour said line current in a second time interval following said reference instant (t 0), said joint probability distribution function being calculated basing on a predictive calculation model or function; - basing on said joint probability distribution function, calculating a probability value (P OL) indicative of the probability that said line current causes a trip intervention of said electronic protection device in said second time interval, according to a given reference tripping curve; - comparing said probability value (P OL) with a predefined probability threshold value (P TH).