  We consider an almost o-minimal expansion of an ordered group $\mathcal
M=(M,<,+,0,\ldots)$ and its tame extension $\mathcal N=(N,<,+,0,\ldots)$. We
demonstrate that the subset $\{x \in M^n\;|\; \mathcal N \models \Phi(x,a)\}$
of $M^n$ defined by a formula $\Phi(x,y)$ with $\mathcal M$-bounded parameters
$a$ in $\mathcal N$ is $\mathcal M$-definable. We also introduce its
corollaries.
