  The brane cosmology scenario is based on the idea that our Universe is a
3-brane embedded in a five-dimensional bulk. In this work, a general class of
braneworld wormholes is explored with $R\neq 0$, where $R$ is the four
dimensional Ricci scalar, and specific solutions are further analyzed. A
fundamental ingredient of traversable wormholes is the violation of the null
energy condition (NEC). However, it is the effective total stress energy tensor
that violates the latter, and in this work, the stress energy tensor confined
on the brane, threading the wormhole, is imposed to satisfy the NEC. It is also
shown that in addition to the local high-energy bulk effects, nonlocal
corrections from the Weyl curvature in the bulk may induce a NEC violating
signature on the brane. Thus, braneworld gravity seems to provide a natural
scenario for the existence of traversable wormholes.
