  In order to disentangle CNM effects from the ``hot'' QGP effects, quarkonium
production is studied in p--Pb collisions in which QGP formation is not
expected. ALICE has measured the $\Upsilon$ production in p--Pb collisions at
$\sqrt{s_{\rm NN}}$ = 5.02 TeV at backward ($-$4.46 $<y_{\rm cms}<$ $-$2.96)
and forward (2.03 $< y_{\rm cms}<$ 3.53) rapidity down to zero transverse
momentum. At forward rapidity, a suppression of $\Upsilon$(1S) production in
p--Pb collisions is observed compared to the binary-scaled yield in pp
collisions in the same kinematic domain while at backward rapidity no
significant suppression or enhancement is found within the experimental
uncertainties. In 2016, the LHC delivered p--Pb collisions at $\sqrt{s_{\rm
NN}}$ = 8.16 TeV with higher integrated luminosity compared to the data
collected at $\sqrt{s_{\rm NN}}$ = 5.02 TeV, which allowed a more detailed
study of the bottomonium production in p--Pb collisions. We report on the
inclusive $\Upsilon$(1S) production as a function of rapidity, transverse
momentum ($p_{\rm T}$) and centrality of the collision and compare the results
with those obtained at $\sqrt{s_{\rm NN}}$ = 5.02 TeV. Theoretical model
predictions as a function of $y_{\rm cms}$ and $p_{\rm T}$ are also discussed.
The results of $\Upsilon$(2S) suppression integrated over $y_{\rm cms}$,
$p_{\rm T}$ and centrality are also reported and compared to the corresponding
$\Upsilon$(1S) measurement.
