In a previous work, we analysed some regularities found in the behaviour of the thermal expansioncoefficient, αp, in compressed liquids. We confirmed that a given liquid presents a characteristic pressurerange in which the condition is fulfilled within a narrow range of reduced densities. We also found that the density atwhich the condition is satisfied, ρα, decreases with temperature, a key feature not described before. Earlier studies by otherauthors suggested that similar regularities are expected for the reduced bulk modulus,B. We present here a detailed analysis of the temperature and density dependence ofB from existing experimental results at high pressures. Several liquids have been analysed: argon,krypton, xenon, ethylene, tetrafluoromethane, trifluoromethane, carbon dioxide, carbon disulfide,n-butane,n-hexane, toluene,ethanol, 1-hexanol, m-cresol, and quinoline. We locate that the densityρB that fulfils the condition occurs at a particular region of the phase diagram, between 3.4 and 2.4 timesthe critical density of each liquid. Interestingly, the previously found densityρα is closeto ρB, in a similar region of the reduced phase diagram. However, we note thatρB typically decreases to a lesser extent with temperature thanρα. In addition, wehave found that ρB(T) behaves in a parallel fashion for the different liquids, showing larger values ofρB as the complexity of the molecules increases. These findings provide a strong basis fordeveloping general equation of state models to describe the behaviour of liquids in thehigh-pressure regime.