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We investigated the electronic structures at the Fermi level and the transport properties via the Shubnikov-de Haas (SdH) and de Haas van Alphen (dHvA) effects in single-crystals of PdTe₂ and PtTe₂, recently claimed to be candidates for a novel type-II Dirac semimetallic state. We synthesized high-quality single-crystals, i.e. with mobilities in excess of 10⁴ cm²/Vs, through a flux method. Both compounds display similar band structures and concomitantly complex their fermi surfaces which are not in perfect agreement with band structure calculations. The effective masses extracted from the Lifshitz-Kosevich formalism were found to be in the order of 0.01 times the free electron mass for both compounds. We also found evidence for a non-trivial Berry phase for PdTe₂ compound.