An integrated magnetoresistive device includes a substrate of semiconductor material that is covered, on a first surface, by an insulating layer. A magnetoresistor of ferromagnetic material extends within the insulating layer and defines a sensitivity plane of the sensor. A concentrator of ferromagnetic material includes at least one arm that extends in a transversal direction to the sensitivity plane and is vertically offset from the magnetoresistor. The concentrator concentrates deflects magnetic flux lines perpendicular to the sensitivity plane so as to generate magnetic-field components directed in a parallel direction to the sensitivity plane.