Looks like a shift because of Datum.
Create a custom coordinate system in QGIS by editing EPSG:25832, replacing GEOGCS ETRS89 with GEOGCS BD72:
PROJCS["BD72 / UTM zone 32N", GEOGCS["BD72", DATUM["Reseau_National_Belge_1972", SPHEROID["International 1924",6378388,297], TOWGS84[-106.8686,52.2978,-103.7239,0.3366,-0.457,1.8422,-1.2747]], PRIMEM["Greenwich",0, AUTHORITY["EPSG","8901"]], UNIT["degree",0.0174532925199433, AUTHORITY["EPSG","9122"]], AUTHORITY["EPSG","4258"]], PROJECTION["Transverse_Mercator"], PARAMETER["latitude_of_origin",0], PARAMETER["central_meridian",9], PARAMETER["scale_factor",0.9996], PARAMETER["false_easting",500000], PARAMETER["false_northing",0], UNIT["metre",1, AUTHORITY["EPSG","9001"]], AXIS["Easting",EAST], AXIS["Northing",NORTH],NORTH]]