  Magnetic, thermal and transport properties of the non-centrosymmetric
compound Eu$_2$Pd$_2$Sn are revisited after including new measurements. In its
paramagnetic phase, the outstanding feature of this compound is the formation
of Eu$^{2+}$ dimers that allows to understand the deviation of the magnetic
susceptibility $\chi(T)$ from the C-W law below about 70\,K, the field
dependent magnetization $M(B)$ variation below $\approx 80$\,K and the reduced
entropy at the ordering temperature $S(T_N)= 0.64R\ln(8)$. A significant change
of the exchange interactions occurs between $T\approx 70$\,K (where $\theta_P =
18$\,K) and $T_N = 13.3$\,K (where $\theta_P =-4.5$\,K). The strong electronic
overlap, arising from the reduced Eu-Eu spacing compared with that of pure
Eu$^{2+}$ is expected to power these quasiparticles formation, inducing a
significant reformulation of the magnetic structure.
  A rich magnetic phase diagram is obtained from the analysis of the
derivatives of the magnetic parameters: $\partial \chi/\partial T$ and
$\partial M/\partial B$, and the field dependence of the specific heat. Two
critical points are recognized and a tentative description of the magnetic
structures is proposed. The possible formation of a skyrmion lattice, that
arises from the presence of magnetically frustrated pockets in the phase
diagram, is suggested by theoretical studies on hexagonal structures exhibiting
similar interactions pattern.
