  We study classical localised configurations - solitons - in a theory of
self-interacting complex Proca field with the global $U(1)$ symmetry. We focus
on spherically-symmetric solitons near the nonrelativistic limit, which are
supported by the quartic interactions of the neutral Proca field. Such solitons
can source the radial electric (magnetic) field if one introduces a parity-even
(parity-odd) coupling of the Proca field to the electromagnetic field tensor.
We discuss the conditions of existence of such nontopological ''electromagnetic
hedgehogs'' and their properties.
