We report on the microscopic superconducting properties of the Dirac semimetal PdTe2. In this study, we have focused on mosaic crystals of PdTe2, and used detailed zero-field and transverse-field muon-spin relaxation/rotation (μSR), ac-magnetic susceptibility, and resistivity measurements to investigate their superconducting properties. The magnetic susceptibility measurements reveal two superconducting transition temperatures at 1.8 and 1.6 K, respectively, in agreement with earlier reports. In contrary to these reports, we find that these mosaic PdTe2 crystals are not type-I, but rather type-II superconductors. In fact, we observe the clear manifestation of a flux-line lattice through a clear diamagnetic shift and Gaussian broadening of the Fourier spectra in the superconducting state. This behavior is likely caused by the disorder in the mosaic crystals of PdTe2 studied here. Our analysis of the superconducting order parameter by the means of temperature-dependent magnetic penetration depth λ(T ) reveals a fully gapped superconducting state that can be well-fitted using an s-wave symmetric gap. We find that PdTe2 is a promising model system for the investigation and interplay of nontrivial topology, surface superconductivity, and type-II bulk superconductivity in a van der Waals material. Moreover, our results indicate that the superconductivity in this material can be easily modified from type-I to type-II by disorder in the system.