  We study the $3d$ $\mathcal{N}=2$ theories resulting from the
compactification of a family of $5d$ SCFTs on a torus with flux in the global
symmetry. The family of $5d$ SCFTs used in the analysis is the one that UV
completes the $5d$ $SU(N+1)$ gauge theories with Chern--Simons level $k$ and
$N_f$ fundamental hypermultiplets, generalizing the previous investigation of
the torus compactifications of the rank 1 Seiberg $E_{N_f+1}$ SCFT (which is
the $N=1$ member of the family). This construction systematically yields
three-dimensional theories presenting highly non-trivial non-perturbative
phenomena such as infra-red dualities and enhanced symmetries, which we check
using various methods.
