In this brief review, the problem of electrostatic confinement of massless Dirac particles is surveyed via a number of exactly solvable one‐ and two‐body models. By considering bound states at zero energy, a route to obtain truly discrete states of massless Dirac particles in scalar potentials is presented, circumventing the celebrated Klein tunneling phenomenon. It is also shown how the coupling of two ultrarelativistic particles can arise, and its implications for cutting‐edge experiments with two‐dimensional Dirac materials are discussed. Finally, an analytic solution of the two‐body Dirac–Kepler problem is reported, which may be envisaged to bring about a deeper understanding of critical charge and atomic collapse in mesoscopic Dirac systems.