We perform a numerical analysis of the gravitational field of a global mono
pole coupled nonminimally to gravity and find that, for some given nonminim
al couplings (in contrast with the minimal coupling case), there is an attr
active region where bound orbits exist. We exhibit the behavior of the freq
uency shifts that would be associated with "rotation curves" of stars in ci
rcular orbits in the spacetimes of such global monopoles.