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Structural, magnetization and heat capacity measurements were performed onCe$_2$(Pd$_{1-x}$Ni$_x$)$_2$Sn ($0 \leq x \leq 0.25$) alloys, covering the fullrange of the Mo$_2$FeB$_2$ structure stability. In this system, the twotransitions observed in Ce$_2$Pd$_2$Sn (at $T_N=4.8$\,K and $T_C=2.1$\,Krespectively) converge into a tri-critical point at $T_{cr}\approx 3.4$\,K for$x\approx 0.3$, where the intermediate antiferromagnetic AF phase issuppressed. The $T_N(x)$ phase boundary decrease is due to an incipient Kondoscreening of the Ce-4f moments and local atomic disorder in the alloy. Bothmechanisms affect the formation of Ce-magnetic dimers on which theShastry-Sutherland lattice (SSL) builds up. On the contrary, the $T_C(x)$transition to the ferromagnetic ground state increases as a consequence of theweakening of the AF-SSL phase. Applied magnetic field also suppresses the AFphase like in the stoichiometric compound.

Tri-critical point and suppression of the Shastry-Sutherland phase in Ce$_{2}$Pd$_{2}$Sn by Ni doping