  In this work we introduce a procedure to find localized structures with
finite energy. We start dealing with global monopoles, and add a new
contribution to the potential of the scalar fields, to balance the contribution
of the angular gradients of the fields which lead to a slow falloff in the
energy density. Within the first order formalism, first order equations that
are compatible with the equations of motion are obtained and the stability
under small fluctuations is investigated. We then include another set of scalar
fields and study how it contributes to change the profile of the localized
structure. We also study how these configurations modify the electric
properties of a system with a single point charge, with generalized electric
permittivity controlled by scalar fields. In this new model, in particular, we
show that, depending on the specific modification of the electric properties of
the medium, the electric field may engender the unusual behavior of pointing
towards a positive charge.
