  We perform a numerical study of the excess of non-abelian gauge invariant
gluonic action around thermal abelian monopoles which populate the deconfined
phase of Yang-Mills theories. Our results show that the excess of magnetic
action is close to that of the electric one, so that thermal abelian monopoles
may be associated with physical objects carrying both electric and magnetic
charge, i.e. dyons. Thus, the quark gluon plasma is likely to be populated by
selfdual dyons, which may manifest themselves in the heavy-ion collisions via
the chiral magnetic effect. Thermodynamically, thermal monopoles provide a
negative contribution to the pressure of the system.
