Deep-freezing apparatus for foodstuffs comprising a deep-freezing compartment, signal display means, sensor means adapted to detect the temperature inside the foodstuffs stored in said deep-freezing compartment, processing means for the signals generated by said sensor means, wherein the apparatus further comprises a neural network adapted to receive the signals issued by a temperature sensor situated inside the foodstuff being deep-frozen and by an information on the time elapsed from the beginning of the deep-freezing process, and further adapted to provide a signal representative of the residual time needed to reach a pre-set (deep-freezing) temperature, as well as processing means adapted to receive the signal output by said neural network and provide in response an information representative of the predicted time needed for a pre-determined temperature to be reached on said first temperature sensor.