  La3Co4Sn13 is a superconducting material with transition temperature at Tc =
2.70 K, which presents a superlattice structural transition at T* ~ 150 K, a
common feature for this class of compounds. However, for this material, it is
not clear that at T* the lattice distortions arise from a charge density wave
(CDW) or from a distinct microscopic origin. Interestingly, it has been
suggested in isostructural non-magnetic intermetallic compounds that T* can be
suppressed to zero temperature, by combining chemical and external pressure,
and a quantum critical point is argued to be observed near these critical
doping/pressure. Our study shows that application of pressure on
single-crystalline La3Co4Sn13 enhances Tc and decreases T*. We observe thermal
hysteresis loops for cooling/heating cycles around T* for P > 0.6 GPa, in
electrical resistivity measurements, which are not seen in x-ray diffraction
data. The hysteresis in electrical measurements may be due to the pinning of
the CDW phase to impurities/defects, while the superlattice structural
transition maintains its ambient pressure second-order transition nature under
pressure. From our experiments we estimate that T* vanishes at around 5.5 GPa,
though no quantum critical behavior is observed up to 2.53 GPa.
