We report on magnetic bias in biphase systems arising from by dipolarlike interaction. Composites consist of amorphous ribbons and wires prepared by rapid solidification techniques, surrounded by an electroplated layer. Amorphous metallic core is (Co0.94Fe0.06)72.5Si12.5B15 with ultrasoft magnetic behavior (coercivity of 10–10−1A∕m), and the electroplated coating is crystalline Co85Ni15 alloy with harder magnetic character (coercivity of 104A∕m. After premagnetizing in a dc saturating field (106A∕m), the low-field (±103A∕m) hysteresis loops are ascribed to the magnetization process of the soft core and exhibit a typical shift towards the direction of the premagnetizing field. This shift is ascribed to the magnetostatic field generated by uncompensated poles at the edges of the hard layer, which remains close to its remanence state. The influence of the geometry of both phases on magnetostatic energy term allows us to tailor the bias field and susceptibility of the core. These results open other possibilities to use these materials as sensing elements in magnetic sensor.