We review a number of unimodular no-scale supergravity models with
F-term SUSY breaking which support technically natural de Sitter
vacua. A variant of these models develops a stage of
inflection-point inflation which can be realized for subplanckian
field values (larger than the vacuum field value) consistently
with the observational data. For central value of the spectral
index ns, the necessary tuning is of the order of 10^-6, the
tensor-to-scalar ratio is tiny whereas the running of ns is around
-3x10^-3. Our proposal is compatible with high-scale SUSY and the
results of LHC on the Higgs boson mass.