A device for processing a pressure signal (P) obtained from a pressure sensor (6a, 6b) in a circuit for extracorporeal fluid (1), said device comprising: an inlet (18) for receiving the pressure signal (P) pressure sensor (6a, 6b) and a signal processor (9a) connected to the inlet (18) and is configured to: extract, from the pressure signal (P), a segment signal (y) comprising a sequence of pulses and interference they originate in a generator interference (4) associated with the circuit of extracorporeal fluid (1) and a sequence of physiological pulses originating from a generator physiological pulse (PH) in a subject that is connected to the fluid circuit extracorporeal ( 1) and processing the signal segment (y) for the separation of pulses interference physiological pulses by: a) the removal of at least one initial model signal (p (0), q (0)) of the signal segment ( y) to generate a first differential signal (c) representing the sequence of pulses and physiological debris pulse interference b) processing the first differential signal (c) to generate a first signal model (c) in which the remains of the interference pulses are suppressed relative to the physiological pulse sequence c) subtracting at least the first signal model (c) the segment signal (y) to generate a second differential signal (p) representing the sequence of pulse interference and the remains of physiological pulses d) processing the second difference signal (p) for generating a second signal model (p) in which the remains of physiological pulses are suppressed relative to the sequence of interference pulses.Un dispositivo para procesar una señal de presión (P) obtenida de un sensor de presión (6a, 6b) en un circuito de fluido extracorpóreo (1), comprendiendo dicho dispositivo: una entrada (18) para recibir la señal de presión (P) del sensor de presión (6a, 6b) y un procesador de señal (9a) conectado a la entrada (18) y que está configurado para: extraer, a partir de la señal de presión (P), un s
