  In this paper we give a concrete recipe how to construct triples of
algebra-valued meromorphic functions on a complex vector space $\mathfrak{a}$
satisfying three coupled classical dynamical Yang-Baxter equations and an
associated classical dynamical reflection equation. Such triples provide the
local factors of a consistent system of first order differential operators on
$\mathfrak{a}$, generalising asymptotic boundary Knizhnik-Zamolodchikov-Bernard
(KZB) equations. The recipe involves folding and contracting
$\mathfrak{a}$-invariant and $\theta$-twisted symmetric classical dynamical
$r$-matrices along an involutive automorphism $\theta$. In case of the
universal enveloping algebra of a simple Lie algebra $\mathfrak{g}$ we
determine the Etingof-Schiffmann classical dynamical $r$-matrices which are
$\mathfrak{a}$-invariant and $\theta$-twisted symmetric. The paper starts with
a section highlighting the connections between asymptotic (boundary) KZB
equations, representation theory of semisimple Lie groups, and integrable
quantum field theories.
