  A $\sigma$-ideal $\mathcal{I}$ on a Polish group $(X,+)$ has Smital Property
if for every dense set $D$ and a Borel $\mathcal{I}$-positive set $B$ the
algebraic sum $D+B$ is a complement of a set from $\mathcal{I}$. We consider
several variants of this property and study their connections with countable
chain condition, maximality and how well they are preserved via Fubini
products.
