AbstractSintering of amorphous polymer particles above their glasstransition temperature is a slow coalescence process in which surface tension is the main driving force, tending to decrease the total surface area, resisted by the polymer viscosity. The shape, and therefore the boundaries of the coalescing particles, change with time. A numerical finite‐element method (FEM) was used to solve the momentum and continuity equations for a coalescing spherical‐particles pair. The solution obtained describes a limited sintering time interval with reasonable agreement. Future modifications of the solution technique are suggested in order to extend its validity to longer sintering peri