  We report the structural, vibrational and electrical transport properties up
to 16 GPa of the 1T-TiTe2, a prominent layered 2D system, which is predicted to
show a series of topologically trivial - nontrivial transitions under
hydrostatic compression. We clearly show signatures of two iso-structural
transition at 2 GPa and 4 GPa obtained from the minima in c/a ratio concomitant
with the phonon linewidth anomalies of Eg and A1g modes at around the same
pressures, providing strong indication of unusual electron-phonon coupling
associated to these transitions. Resistivity presents nonlinear behavior over
similar pressure ranges providing a strong indication of the electronic origin
of these pressure driven isostructural transitions. Our data thus provide clear
evidences of topological changes at A and L point of the Brillouin zone
predicted to be present in the compressed 1T-TiTe2. Between 4 GPa and 8 GPa,
the c/a ratio shows a plateau suggesting a transformation from an anisotropic
2D layer to a quasi 3D crystal network. First principles calculations suggest
that the 2D to quasi 3D evolution without any structural phase transitions is
mainly due to the increased interlayer Te-Te interactions (bridging) via the
charge density overlap. In addition to the pressure dependent isostructural
phase transitions, our data also evidences the occurrence of a first order
structural phase transition from the trigonal (P-3m1) phase at higher
pressures. We estimate the start of this structural phase transition to be 8
GPa and the symmetric of the new high-pressure phase to be monoclinic (C2/m).
