  Let $\Lambda$ be a finite dimensional algebra. In this paper we show that
there is a natural bijection between cosilting modules in Mod$\Lambda$ and
semibricks in Mod$\Lambda$ satisfying some condition. Also this bijection
restricts to a bijection between all semibricks in mod$\Lambda$ and a certain
subclass of cosilting modules. These bijections are generalizations of Asai's
correspondence [7] between support $\tau^-$-tilting modules and right finite
semibricks.
