  The scalar glueball $G$ is the lightest particle of the Yang-Mills sector of
QCD, with a lattice predicted mass of about $m_{G}\simeq1.7$ GeV. It is natural
to investigate glueball-glueball scattering and the possible emergence of a
bound state, that we call glueballonium. We perform this study in the context
of a widely used dilaton potential, that depends on a single dimensionful
parameter $\Lambda_G$. We consider a unitarization prescription that allows us
to predict the lowest partial waves in the elastic window. These quantities can
be in principle calculated on the lattice, thus offering possibility for
testing the validity of the dilaton potential and an independent determination
of its parameter. Moreover, we also show that a stable glueballonium exists if
$\Lambda_{G}$ is small enough. In particular, for $\Lambda_{G}$ compatible with
the expectations from the gluon condensate, the glueballonium has a mass of
about $3.4$ GeV.
