  Poisson-Lie (PL) T-duality has received much attention over the last five
years in connection with integrable string worldsheet theories. At the level of
the worldsheet, the algebraic structure underpinning these connections is made
manifest with the $\mathcal{E}$-model, a first order Hamiltonian description of
the string. The $\mathcal{E}$-model shares many similarities with Double Field
Theory (DFT). We report on recent progress in establishing a precise linkage
with DFT as the target space description of the $\mathcal{E}$-model. There are
three important outcomes of this endeavor:
  1) PL symmetry is made manifest at the level of (generalized) supergravity in
DFT.
  2) PL symmetric target spaces are described by a set of generalized frame
fields that encode consistent truncations of supergravity.
  3) PL dualisation rules are made explicit and are readily extended to include
the R/R sector of the type II theory.
  These general results are put into context with their application to the the
integrable Yang-Baxter model ($\eta$-deformation). This extended proceedings
provides some introductory review of PL and an orientation to the results of
arXiv:1707.08624 and arXiv:1810.11446.
