At our institute, in collaboration with the groups of Seunghyun Khim and Manuel Brando, we found a new heavy fermion superconductor having two phases in the magnetic field-temperature phase diagram. Using thermodynamic probes, we establish the highly anisotropic critical field phase diagram. The superconducting state appearing at low fields is characterised by an enhanced and anisotropic Pauli limit. Furthermore, a c-axis field drives a transition to a second superconducting state that seems to be purely orbitally limited with a critical field as high as 14 T, remarkable in a material whose transition temperature is 0.26 K. In spite of the fact that CeRh2
is globally centrosymmetric, local inversion-symmetry breaking at the Ce sites would naturally enable Rashba spin-orbit coupling to dominate the critical fields and drive a transition from even to odd-parity superconductivity.