This variable-angle tubular connection includes a first tubular section (4) which has a flange ring (10), a second tubular section (6) which has an end flange (12) and a clamping device (8) for clamping the flange ring (10) against the end flange (12). The clamping device (8) has at least one linking segment (22), suitable for being applied against the flange ring (10), and components (24) for clamping the linking segment (22) against the flange ring. The end flange (12) has traversing recesses (20) through which the clamping components extend. The end flange is fixed to the second tubular section (6). Application to the sealed junction of tubing elements.