The disclosure provides a wet-pressed tissue product comprising Agave fiber and having improved sheet bulk and good cross-machine tensile, toughness and durability properties. Cross-machine properties are significant because tissue products often fail in the cross-machine direction because it is often the weaker of the two product orientations (cross and machine directions). Accordingly, in certain embodiments the present disclosure provides a three-layered single-ply wet-pressed tissue product comprising high-yield Agave fibers from the leaves of Agave tequilana, Eucalyptus Hardwood Kraft (EHWK) fibers and Northern bleached softwood kraft (NBSK), wherein the high-yield Agave fibers comprise at least about 5.0 percent by weight of the tissue product, the product having a CD tensile greater than about 450 g/3″ and sheet bulk greater than about 7.0 cc/g.