  We present novel continuous supersymmetric transitions which take place among
different chiral configurations of D3/D7 branes at singularities in the context
of type IIB Calabi-Yau compactifications. We find that distinct local models
which admit a consistent global embedding can actually be connected to each
other along flat directions by means of transitions of bulk-to-flavour branes.
This has interesting interpretations in terms of brane recombination/splitting
and brane/anti-brane creation/annihilation. These transitions give rise to a
large web of quiver gauge theories parametrised by splitting/recombination
modes of bulk branes which are not present in the non-compact case. We
illustrate our results in concrete global embeddings of chiral models at a dP_0
singularity.
