The study of identified particle production in p--Pb and pp collisions provides a baseline measurement to be compared with Pb--Pb results. The excellent tracking and particle identification capabilities of the ALICE detector allow the study of identified particle production up to a very high transverse momentum ($p_{\mathrm{T}}$). We report recent results on $\phi$ and K*$^{0}$ in p--Pb collisions at $\sqrt{s_{NN}}$ = 8.16 TeV along with measurements of $\pi$, K, p, $\Xi$, $\Lambda$ and $\Omega$ in p--Pb collisions at $\sqrt{s_{NN}}$ = 5.02 TeV. Integrated yields, mean transverse momenta, and particle ratios as a function of the charged particle multiplicity are studied to understand the particle production mechanism. The nuclear modification factor ($R_{\mathrm{pPb}}$) as a function of $p_{\mathrm{T}}$ is studied to understand the parton energy loss mechanism and the Cronin effect.