  We report the temperature-pressure-magnetic field phase diagram of the
ferromagnetic Kondo-lattice CeTiGe$_3$ determined by means of electrical
resistivity measurements. Measurements up to $\sim$ 5.8 GPa reveal a rich phase
diagram with multiple phase transitions. At ambient pressure, CeTiGe$_3$ orders
ferromagnetically at $T_\text{C}$ = 14 K. Application of pressure suppresses
$T_\text{C}$, but a pressure induced ferromagnetic quantum criticality is
avoided by the appearance of two new successive transitions for $p$ $>$ 4.1 GPa
that are probably antiferromagnetic in nature. These two transitions are
suppressed under pressure, with the lower temperature phase being fully
suppressed above 5.3 GPa. The critical pressures for the presumed quantum phase
transitions are $p_1$ $\cong$ 4.1 GPa and $p_2$ $\cong$ 5.3 GPa. Above 4.1 GPa,
application of magnetic field shows a tricritical point evolving into a wing
structure phase with a quantum tricritical point at 2.8 T at 5.4 GPa, where the
first order antiferromagnetic-ferromagnetic transition changes into the second
order antiferromagnetic-ferromagnetic transition.
