The present invention discloses a process and a method providing a high bulk tissue which is both strong and soft. Specifically, it has been discovered that certain low pressure printing technologies may be used to deliver a bonding material to the surface of a high bulk paper web such as an uncreped, through-dried web. The bonding material may be applied to the web either before, during or after the web is softened with a mechanical straining process which will decrease the web bulk by no more than 20% of the initial bulk in order to increase the web softness. The web may be softened by any of a variety of mechanical straining processes such as, for instance, microcreping, microstraining, rush transfer, or other low-compressive softening methods. The cured bonding material on the web may not only increase the bulk of the web when dry and wet, but also increase the wet resiliency and the wet strength of the web.