  In this paper we revisit the double vector meson production in $\gamma
\gamma$ interactions at heavy ion collisions and present, by the first time,
predictions for the $\rho\rho$ and $J/\Psi J/\Psi$ production in proton --
nucleus and proton -- proton collisions. In order to obtain realistic
predictions for rapidity distributions and total cross sections for the double
vector production in ultra peripheral hadronic collisions we take into account
of the description of $\gamma \gamma \rightarrow VV$ cross section at low
energies as well as its behaviour at large energies, associated to the gluonic
interaction between the color dipoles. Our results demonstrate that the double
$\rho$ production is dominated by the low energy behaviour of the $\gamma
\gamma \rightarrow VV$ cross section. In contrast, for the double $J/\Psi$
production, the contribution associated to the description of the QCD dynamics
at high energies contributes significantly, mainly in $pp$ collisions.
Predictions for the RHIC, LHC, FCC and CEPC - SPPC energies are shown.
