The invention relates to a process for continuously preparing di-C 1-3 -alkyl succinates by reacting succinic acid with an C 1-3 -alkanol in the presence of a fixed-bed heterogeneous acidic esterification catalyst in a tubular reactor at a temperature in the range of from 60 to 100°C, wherein a mixture, comprising succinic acid, C 1-3 -alkanol, mono-C 1-3 -alkyl succinate, di-C 1-3 -alkyl succinate and water, is formed in a mixing stage and fed to the entrance of the tubular reactor, and wherein 5 to 75% of the outlet flow rate of the tubular reactor are recycled directly to the mixing stage as a recycle stream, and the molar ratio of C 1-3 -alkanol to succinic acid added to the mixing zone, and not including the C 1-3 -alkanol and succinic acid at the recycle stream, being in the range of from 2.0 to 9.5. The invention furthermore relates to a process for separating the reactor effluent of an esterification of succinic acid with an C 1-3 -alkanol to give di-C1-3-alkyl succinates by distillation, wherein the separation is performed in a divided wall column in which C 1-3 -alkanol and water are removed in a top draw of the column, di-C 1-3 -alkyl succinate is removed in a side draw of the column, and wherein mono-C 1-3 -alkyl succinate and succinic acid are removed in a bottom draw of the column.