The formation of equally-spaced structures (trains) of rigid, spherical particles suspended in a viscoelastic fluid flowing in a cylindrical microchannel is investigated by numerical simulations. Direct Numerical Simulations (DNS) have been employed to accurately compute the translational velocities of a system made by three particles aligned along a cylindrical channel for different interparticle distances. A shear-thinning, elastic fluid, modeled by the Giesekus costitutive equation, is considered. The DNS results are collected in a database used for simulating the dynamics of a multi-particle system. The evolution of the particle microstructure through the channel is presented in terms of interparticle distance distributions. The effects...