The FINEMET (FeCuNbSiB) alloy, in its amorphous and nanocrystalline states, has been the focus of many studies due to their extensive technological application[1]. In particular, the perspective of novel application of giant magnetoimpedance (GMI) effect in the field of magnetic sensors and magnetic recording in the high frequency range has been extensively supported in the last years’ research in soft magnetic materials. And as well known, swift heavy ions (SHI) irradiation-induced modification is a unique and effectual tool and attracts the interest of many researcher teams[2]. In particular, the perspective of novel application of giant magnetoimpedance (GMI) effect in the field of of magnetic sensors and magnetic recording in the high frequency range has been extensively supported in the last years’ research in soft magnetic materials. And as well known, swift heavy ions (SHI) irradiation-induced modification is a unique and effectual tool and attracts the interest of many researcher teams [2].