  For a simple complex Lie algebra of finite rank and classical type, we fix a
triangular decomposition and consider the simple Levi subalgebras associated to
closed subsets of roots. We study the restriction of global and local Weyl
modules of current algebras to this Levi subalgebra. We identify necessary and
sufficient conditions on a pair of a Levi subalgebra and a dominant integral
weight, such that the restricted module is a global (resp. a local) Weyl
module.
