  Recently, Wang, Wei and Zhang introduced the notion of recollements of
extriangulated categories. In this paper, let
$(\mathcal{A},\mathcal{B},\mathcal{C})$ be a recollement of extriangulated
categories. We provide some methods to construct resolving subcategories in
$(\mathcal{A},\mathcal{B},\mathcal{C})$. As applications of the
Auslander-Reiten correspondence, we get the gluing of cotilting modules in a
recollement of module categories for artin algebras. We also give some bounds
of resolution dimensions of the categories involved in
$(\mathcal{A},\mathcal{B},\mathcal{C})$ with respect to resolving
subcategories, which generalize some known results.
