Pulps from agricultural residues (wheat straw) bleached using the DE(P)D sequence (chlorine dioxide-soda plus hydrogen peroxide extraction-chlorine dioxide) and the FDE(P)D, XDE(P)D and XFDE(P)D sequences, which included pretreatment with the fungus Phanerochaete chrysosporium (F), the enzyme Cartazyme HS (X) and the enzyme plus the fungus (XF) are compared in terms of kappa index, brightness and yield, in addition to the breaking length, burst index and tear index of paper sheets manufactured from them. XDE(P)D was found to be the best alternative to the DE(P)D sequence as it surpassed the latter in pulp brightness (by 3.7%), featured a moderate yield loss (9.3%) and provided paper sheets with acceptably smaller breaking length and burst index (20.2 and 13.1% less, respectively). The FDE(P)D sequence was that resulting in the greatest increase in pulp brightness (8.6%) and the greatest savings in chlorine (10.9%), however, the yield and the breaking length and burst index of the sheets were markedly decreased (by 25.2, 24.7 and 41.8%, respectively) and the treatment time was rather long. Finally, the XFDE(P)D sequence provided pulp in a considerably diminished yield (34.5%) and paper sheets with poor properties and essentially the same brightness; this sequence also took a long time to implement.