We report the detection, using observations of the CO(2-1) line performed with the Atacama Pathfinder EXperiment (APEX), of molecular gas in the region of the outer filament of Centaurus A, a complex region known to show various signatures of an interaction between the radio jet, an H I cloud, and ionised gas filaments. We detect CO(2-1) at all observed locations, which were selected to represent regions with very different physical conditions. The H-2 masses of the detections range between 0.2 x 10(6) and 1.1 x 10(6) M-circle dot, for conservative choices of the CO to H-2 conversion factor. Surprisingly, the stronger detections are not coincident with the H I cloud, but instead are in the region of the ionised filaments. We also find varia...