Production cross sections as a function of rapidity ($y_{\rm cms}$) for prompt $\Dzero$, $\Dplus$ and $\Dstar$ mesons in p-Pb collisions at $\sqrtsNN=5.02 \tev$, for three $\pt$ intervals. The $\Dzero$-meson data are compared with a cross section obtained by multiplying the FONLL calculation by the mass number $A$ and the nuclear modification factor $R_{\rm pA}$ estimated as a function of $y$ with the MNR NLO pQCD calculation, with CTEQ6M PDFs and the EPS09NLO nuclear PDF parametrisation.