  In the context of type IIB string theory we combine moduli stabilisation and
model building on branes at del Pezzo singularities in a fully consistent
global compactification. By means of toric geometry, we classify all the CY
manifolds with 3 < h11 < 6 which admit two identical del Pezzo singularities
mapped into each other under the orientifold involution. This effective
singularity hosts the visible sector containing the Standard Model while the
Kaehler moduli are stabilised via a combination of D-terms, perturbative and
non-perturbative effects supported on hidden sectors. We present concrete
models where the visible sector, containing the Standard Model, gauge and
matter content, is built via fractional D3-branes at del Pezzo singularities
and all the Kaehler moduli are fixed providing an explicit realisation of both
KKLT and LARGE volume scenarios, the latter with D-term uplifting to de Sitter
minima. We perform the consistency checks for global embedding such as tadpole,
K-theory charges and Freed-Witten anomaly cancellation. We briefly discuss
phenomenological and cosmological implications of our models.
