  Recently, no-go theorems for the existence of solitonic solutions in
Einstein-Maxwell-scalar (EMS) models have been established in arXiv:1902.07721.
Here we discuss how these theorems can be circumvented by a specific class of
non-minimal coupling functions between a real, canonical scalar field and the
electromagnetic field. When the non-minimal coupling function diverges in a
specific way near the location of a point charge, it regularises all physical
quantities yielding an everywhere regular, localised lump of energy. Such
solutions are possible even in flat spacetime Maxwell-scalar models, wherein
the model is fully integrable in the spherical sector, and exact solutions can
be obtained, yielding an explicit mechanism to de-singularise the Coulomb
field. Considering their gravitational backreaction, the corresponding
(numerical) EMS solitons provide a simple example of self-gravitating,
localised energy lumps.
