Résumé : We reanalyze the experiment of Schmitt et al. on the Be10(d,p)Be11 transfer reaction [Phys. Rev. Lett. 108, 192701 (2012)] by exploring the beam-energy and angular ranges at which the reaction is strictly peripheral. We consider the adiabatic distorted wave approximation (ADWA) to model the reaction and use a Halo-EFT description of Be11 to systematically explore the sensitivity of our calculations to the short-range physics of the Be10-n wave function. We find that by selecting the data at low beam energy and forward scattering angle the calculated cross sections scale nearly perfectly with the asymptotic normalization coefficient (ANC) of the Be11 bound states. Following these results, a comparison of our calculations with the experimental data gives a value of C1s1/2=0.785±0.03fm-1/2 for the 12+ ground-state ANC and C0p1/2=0.135±0.005fm-1/2 for the 12- excited state, which are in perfect agreement with the ab initio calculations of Calci et al., who obtain C1/2+abinitio=0.786fm-1/2 and C1/2-abinitio=0.129fm-1/2.