  We present a formulation of Double Field Theory with a Drinfeld double as
extended spacetime. It makes Poisson-Lie T-duality (including abelian and
non-abelian T-duality as special cases) manifest. This extends the scope of
possible applications of the theory, which so far captured abelian T-duality
only, considerably. The full massless bosonic subsector (NS/NS and R/R) of type
II string theories is covered.
