  We prove an old conjecture by Duff, Nilsson, Pope and Warner asserting that
the NS-NS sector of supergravity (and more general the bosonic string) allows
for a consistent Pauli reduction on any d-dimensional group manifold G, keeping
the full set of gauge bosons of the G x G isometry group of the bi-invariant
metric on G. The main tool of the construction is a particular generalised
Scherk-Schwarz reduction ansatz in double field theory which we explicitly
construct in terms of the group's Killing vectors. Examples include the
consistent reduction from ten dimensions on $S^3\times S^3$ and on similar
product spaces. The construction is another example of globally geometric
non-toroidal compactifications inducing non-geometric fluxes.
