$P b {I}_{2}$, $P b S {O}_{4}$, $P b C {l}_{2}$, $B a S {O}_{4}$ are all insoluble in aqueous solvents. Did I miss any?
So in answer to your question, the combination $B a {I}_{2}$, and $K C l$ is safe. As is ${K}_{2} S {O}_{4}$ and $K C l$.