  In this paper we prove a local-to-global principle for the Fukaya category of
a closed Riemann surface $\Sigma$ of genus $g \geq 2$. We show that
$\mathrm{Fuk}(\Sigma)$ can be glued from the Fukaya categories of the
pairs-of-pants making up a pants decomposition of $\Sigma$. This extends our
earlier results for the case of punctured Riemann surfaces. Our result has
several interesting consequences: we obtain simple proofs of old and new HMS
statements for Riemann surfaces, and establish a geometrization theorem for the
objects of $\mathrm{Fuk}(\Sigma)$.
