In TRIREME we have developed and applied new laboratory configurations and methodologies to explore transport at extremes at several facilities, including local laboratories at University of Edinburgh and Central Facilities, in particular, the European XFEL and the PETRA III Synchrotron in Germany. At Edinburgh we developed a novel multi-laser laboratory with time resolved detectors, multiple laser heating and probing solutions, and combined these with state of the art imaging. At European XFEL, we have benchmarked a wide range of new laboratory methods with community wide teams, including leading new measurements of thermal conductivity of materials at high pressures (Exp #3160). Representative results from European XFEL studies can be found in Frost et al., Nature Astronomy, 2024 and associated press releases. At PETRA III, we have received two consecutive Long Term Proposals, in collaboration with Lawrence Livermore National Laboratory, to develop new X-ray imaging solutions for high pressure experiments with the goal of studying melting, fluid motion, and viscosity of high pressure liquids. For these studies we also developed a range of software solutions to support experiments and interpret datasets.