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We classify simple transitive $2$-representations of certain$2$-sub\-ca\-te\-go\-ri\-es of the $2$-category of Soergel bimodules over thecoinvariant algebra in Coxeter types $B_2$ and $I_2(5)$. In the $I_2(5)$ caseit turns out that simple transitive $2$-representations are exhausted by cell$2$-representations. In the $B_2$ case we show that, apart from cell$2$-representations, there is a unique, up to equivalence, additional simpletransitive $2$-representation and we give an explicit construction of this$2$-representation.

Simple transitive 2-representations for some 2-subcategories of Soergel bimodules