Recently, we performed muSR measurements at the continuous muon source at PSI on the magnetic and superconducting properties of locally non-centrosymmetric SrPtAs. We find a very weak increase of the ZF muSR relaxation rate below the superconducting Tc indicating the presence of spontaneous static magnetic fields. This finding, if reproduced independently, would imply that the superconducting state of SrPtAs breaks time-reversal symmetry (TRS). The superfluid density as determined by transverse field muSR is exponentially flat approaching T=0K proving the absence of extended nodes in the gap function. These experimental results would enable us to identify the complex d + id (chiral d-wave) order parameter as the most probable pairing state in SrPtAs allowed by symmetry.