The identification of a collection of small 3-D bounded homogeneous inclusions, with arbitrary permittivity, conductivity and permeability, buried within a homogeneous or stratified medium is considered via time-harmonic electromagnetic means. The applications envisaged are in environment, civil and military engineering, non- destructive testing of man-made structures, medical imaging, etc. Specific attention at the present stage is given to configurations possibly met in the identification of small objects within Earth subsoils. The proposed approach uses Music-type algorithms, and enables us to achieve fast numbering, accurate localization, and in the best case (so-called well-separated inclusions) estimates of the electromagnetic and geometric parameters of the inclusions.