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The non-magnetic heavy fermion compound Ce 3 Co 4 Sn 13 was studied under pressure. We report single crystalline measurements of electrical resistivity as a function of temperature q(T) under pressure. Some characteristic features related to a structural transition (T S ), crystalline field effects (T CEF ), and a low temperature maximum (T max ), possibly connected simultaneously to the onset of Kondo lattice coherence and short range magnetic correlations, were identified in the q(T) data. A pressure-temperature phase diagram with T S and T max was constructed by mapping these features. Like for most Ce-based heavy fermion compounds, T max moves to higher temperatures with pressure, indicating that it is related to the Kondo energy scale, due to the increase of hybridization induced by pressure. On the other hand, T S , associated to a superlattice distortion and probably combined with a charge density wave transition, decreases as a function of pressure. However, differently from the Sr 3Àx Ca x Ir 4 Sn 13 system, where a superlattice quantum phase transition is observed [L. E. Klintberg et al., Phys. Rev. Lett. 109, 237 008 (2012)], in Ce 3 Co 4 Sn 13 T S $ 154 K, at ambient pressure (P ¼ 0), seems to stabilize at around 143 K for P ! 19 kilobars. We also investigated q(T) in external magnetic fields, at P ¼ 0. Negative magnetoresistance and increase of T max are observed, suggesting suppression of low temperature short range magnetic correlations. V C 2015 AIP Publishing LLC. [http://dx.