  The semi-metals having electrons near the Fermi level follow the relativistic
equation of motion, and show Dirac or Weyl-type behavior. Their orbital
resolved electronic bands analysis indicates the non-trivial topological
states. Through the first principle methods, the electronic band structure of
bulk and thin layers of transition metal dichalcogenides NiTe2 and PdTe2 are
calculated and analyzed. Implementation of Hubbard corrections to the band
structure indicates zero magnetization, though atoms of Ni are magnetic. Z2
invariant index is calculated for topological classification for both materials
and is found to possess strong topology indicating robust topological surface
states. Further, Fermi surfaces and topological surface states are computed
into kz plane showing the presence of Dirac-fermions by forming of Dirac cone
for PdTe2 but for NiTe2 we do not get clear evidence.
