An integrated magnetoresistive device, where a substrate of semiconductor material is covered, on a first surface, by an insulating layer. A magnetoresistor of ferromagnetic material extends in the insulating layer and defines a sensitivity plane of the sensor. A concentrator of ferromagnetic material including at least one arm, extending in a transversal direction to the sensitivity plane and vertically offset to the magnetoresistor. In this way, magnetic flux lines directed perpendicularly to the sensitivity plane are concentrated and deflected so as to generate magnetic-field components directed in a parallel direction to the sensitivity plane.