  The notion of (semi)bricks, regarded as a generalization of (semi)simple
modules, appeared in a paper of Ringel in 1976. In recent years, there has been
several new developments motivated by links to {\tau}-tilting theory studied by
Demonet-Iyama-Jasso and Asai. In this paper, we will discuss how to glue
semibricks along a recollement with the intermediate extension functor similar
to gluing simple modules by Beilinson-Bernstein-Deligne. As an application, we
investigate the behavior of {\tau}-tilting finite under recollements of module
categories of algebras. Moreover, we give some examples to show the
construction of support {\tau}-tilting modules over {\tau}-tilting finite
algebras by gluing semibricks via recollements.
