  We report the magnetic properties of the layered heavy fermion
antiferromagnet CePdGa$_{6}$, and their evolution upon tuning with the
application of magnetic field and pressure. CePdGa$_{6}$ orders
antiferromagnetically below $T\rm_{N}$ = 5.2 K, where there is evidence for
heavy fermion behavior from an enhanced Sommerfeld coefficient. Our results are
best explained by a magnetic ground state of ferromagnetically coupled layers
of Ce $4f$-moments orientated along the $c$-axis, with antiferromagnetic
coupling between layers. At low temperatures we observe two metamagnetic
transitions for fields applied along the $c$-axis corresponding to spin-flip
transitions, where the lower transition is to a different magnetic phase with a
magnetization one-third of the saturated value. From our analysis of the
magnetic susceptibility, we propose a CEF level scheme which accounts for the
Ising anisotropy at low temperatures, and we find that the evolution of the
magnetic ground state can be explained considering both antiferromagnetic
exchange between nearest neighbor and next nearest neighbor layers, indicating
the influence of long-range interactions. Meanwhile we find little change of
$T\rm_{N}$ upon applying hydrostatic pressures up to 2.2 GPa, suggesting that
significantly higher pressures are required to examine for possible quantum
critical behaviors.
