  The production of K$^{*}$(892)$^{0}$ and $\phi$(1020) mesons has been
measured in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV. K$^{*0}$
and $\phi$ are reconstructed via their decay into charged hadrons with the
ALICE detector in the rapidity range $-0.5 < y <0$. The transverse momentum
spectra, measured as a function of the multiplicity, have p$_{\mathrm{T}}$
range from 0 to 15 GeV/$c$ for K$^{*0}$ and from 0.3 to 21 GeV/$c$ for $\phi$.
Integrated yields, mean transverse momenta and particle ratios are reported and
compared with results in pp collisions at $\sqrt{s}$ = 7 TeV and Pb-Pb
collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV. In Pb-Pb and p-Pb
collisions, K$^{*0}$ and $\phi$ probe the hadronic phase of the system and
contribute to the study of particle formation mechanisms by comparison with
other identified hadrons. For this purpose, the mean transverse momenta and the
differential proton-to-$\phi$ ratio are discussed as a function of the
multiplicity of the event. The short-lived K$^{*0}$ is measured to investigate
re-scattering effects, believed to be related to the size of the system and to
the lifetime of the hadronic phase.
