A free electron can form a bound state with an atomic center A upon photo emission (radiative recombination). In the presence of a neighboring atom B, such a bound state can, under certain conditions, be also formed via resonant transfer of energy to B, with its subsequent relaxation through radiative decay (two-center dielectronic recombination). This two-center process is very efficient in the 'static' case where A and B form a weakly bound system, dominating over singlecenter radiative recombination up to internuclear distances as large as several nanometers. Here we study its dynamic variant in which recombination occurs when a beam of species A collides with a gas of atoms B and show that, even though the average distance between A and B in collisions is orders of magnitude larger than the typical size of a bound system, the two-center recombination can still outperform the single-center radiative recombination.I.