The present invention is generally directed to cellulosic tissues having excellent softness and strength. The tissues are made from a multi-layered paper web containing outer layers made from fibrillated fibers and/or a blend of low-average length and high-average length fibers. The paper web is applied with a softening agent for producing a web having reduced levels of fiber bonding. Moreover, a bonding agent is also applied to the web to improve strength and tear resistance.