The electronic properties of the second and third row transition metal oxides are traditionally thought to be dominated by the width of the 4d or 5d valence band, which reduces electron correlations and favours itinerant behaviour. Recently however, two examples of anomalous insulating states driven by spin-orbit coupling (SOC) have been found in Sr2IrO4 and PbRuO3. In the iridate the insulating state results from a Mott-like transition in an effective J = 1/2 state. Similarly, in PbRuO3, we recently found that SOC, coupled with Pb2+ displacements, stabilises a complex orbital ordered state on cooling below ~90 K, completely different to anything previously reported in this class of compounds. The magnetic ground state has yet to be understood primarily due to the expected small ordered moment, making MuSR an ideal technique to investigate the material with.