  We investigate the bosonic Klein-Gordon (KG) oscillators in a global monopole
(GM) spacetime in Eddington-inspired Born-Infeld (EiBI) gravity and a Wu-Yang
magnetic monopole (WYMM). We discuss the gravitational effects in the presence
of Ricci scalar curvature $R=R_{\upsilon }^{\upsilon }$. It is observed that
the presence of the Ricci scalar curvature, effectively and manifestly,
introduces a force field that makes the corresponding quantum mechanical
repulsive core more repulsive. Similar effect is also observed for the
EiBI-gravitational field. We reiterate and report that the corresponding
bosonic KG-oscillator quantum mechanical system admits a solution in the form
of confluent Heun functions, the truncation of which into a physically
admissible polynomial is shown to be associated with some parametric
correlations/conditions. The use of such conditions/correlations is mandatory
and yields a set of allowed/restricted quantum mechanical orbital $\ell
$-excitations, for all radial quantum numbers $n_{r}\geq 0$. Our procedure is
shown to be quite handy, in the since that it allows one to retrieve results
for KG-oscillators in GM-spacetime in different EiBI-gravity and Ricci scalar
curvature settings.
