  We have studied the microscopic magnetic properties, the nature of the 130-K
phase transition, and the ground state in the recently synthesized compound
Ce$_2$Rh$_2$Ga by use of $^{69,71}$Ga nuclear quadrupole resonance (NQR). The
NQR spectra clearly show an unusual phase transition at $T_t$ $\sim$ 130 K
yielding a splitting of the high-temperature single NQR line into two clearly
resolved NQR lines, providing evidence for two crystallographically
inequivalent Ga sites. The NQR frequencies are in good agreement with
fully-relativistic calculations of the band structure. Our NQR results indicate
the absence of magnetic or charge order down to 0.3 K. The temperature
dependence of the spin-lattice relaxation rate, 1/$T_1$, shows three distinct
regimes, with onset temperatures at $T_t$ and 2 K. The temperature-independent
1/$T_1$, observed between $T_t$ and 2 K, crosses over to a Korringa process,
1/$T_1$ $\propto$ $T$, below $\sim$ 2 K, which evidences a rare two-ion Kondo
scenario: the system goes into a dense Kondo coherent state at 2.0 and 0.8 K
for the two different Ga sites.
