Transition metal dichalcogenide (TMD) superconductors have a non-trivial response to both in-plane and out-of-plane magnetic fields. Their extreme robustness to in-plane field, a consequence of Ising spin-orbit coupling (ISOC), makes them natural candidates for the study of exotic superconducting phenomena such as Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) and equal-spin triplet pairing phases. The out-of-plane field response received less attention. In this regime, TMD superconductors exhibit a mixed phase where flux is admitted in Abrikosov vortices, having properties that shed light on aspects of the microscopic character of the superconducting order parameter. These include anisotropy, multi-band superconductivity, the coherence length (or lengths) and the upper critical field , as well as the spectrum and geometry of the Caroli-de Gennes-Matricon (CdGM) bound states in the vortex cores.