We say that a topological group $G$ is partially box $��$-resolvable if there exist a dense subset $B$ of $G$ and a subset $A $ of $G$, $|A|=��$ such that the subsets $\{ aB: a\in A\}$ are pairwise disjoint. If $G=AB$ then $G$ is called box $��$-resolvable. We prove two theorems. If a topological group $G$ contains an injective convergent sequence then $G$ is box $��$-resolvable. Every infinite totally bounded topological group $G$ is partially box $n$-resolvable for each natural number $n$, and $G$ is box $��$-resolvable for each infinite cardinal $��, ��