This report focuses on cognitive gaps for pressure dependence of the melting temperature, presenting: (i) the coherent discussion on Tm (P) behaviour both for ‘Hard’ Matter (‘standard’ solid state) and Soft Matter systems, to reveal the importance of intermolecular interactions strength, (ii) the model picture linking systems with (dTm)⁄(dP>0), (dTm)⁄(dP< 0) and Tm (P) curve maximum; which also shows the relevance of the negative pressures domain, (iii) the ultimate validation test of the recent ‘universal’ scaling of Tm (P) pattern derived by Trachenko [Phys. Rev. E 2024, 109, 034122] against empirical data. The evidence for ‘Hard Matter’ focuses on systems relevant for the semiconductor industry, but yet under-discussed: Silicon, Germanium, and Gallium Nitride. For Soft Matter, these include unique polymeric systems and liquid-crystalline pentylcyanobiphenyl (5CB). For the latter, symmetry-selected melting/freezing takes place. Finally, the specific case of graphite and diamond a discussed. The report includes an innovative solution for melting temperature under-pressure detection.