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In order to disentangle CNM effects from the ``hot'' QGP effects, quarkoniumproduction is studied in p--Pb collisions in which QGP formation is notexpected. 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 transversemomentum. At forward rapidity, a suppression of $\Upsilon$(1S) production inp--Pb collisions is observed compared to the binary-scaled yield in ppcollisions in the same kinematic domain while at backward rapidity nosignificant suppression or enhancement is found within the experimentaluncertainties. In 2016, the LHC delivered p--Pb collisions at $\sqrt{s_{\rmNN}}$ = 8.16 TeV with higher integrated luminosity compared to the datacollected at $\sqrt{s_{\rm NN}}$ = 5.02 TeV, which allowed a more detailedstudy of the bottomonium production in p--Pb collisions. We report on theinclusive $\Upsilon$(1S) production as a function of rapidity, transversemomentum ($p_{\rm T}$) and centrality of the collision and compare the resultswith those obtained at $\sqrt{s_{\rm NN}}$ = 5.02 TeV. Theoretical modelpredictions 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.

Inclusive $\Upsilon$ production in p--Pb collisions at $\sqrt{s_{\rm NN}}$ = 8.16 TeV with ALICE at the LHC