  We investigate the pluriclosed flow on Oeljeklaus-Toma manifolds. We
parametrize left-invariant pluriclosed metrics on Oeljeklaus-Toma manifolds and
we classify the ones which lift to an algebraic soliton of the pluriclosed flow
on the universal covering. We further show that the pluriclosed flow starting
from a left-invariant pluriclosed metric has a long-time solution $\omega_t$
which once normalized collapses to a torus in the Gromov-Hausdorff sense.
Moreover the lift of $\tfrac{1}{1+t}\omega_t$ to the universal covering of the
manifold converges in the Cheeger-Gromov sense to $(\mathbb H^r\times\mathbb
C^s, \tilde{\omega}_{\infty})$ where $\tilde{\omega}_{\infty}$ is an algebraic
soliton.
