Euclidean domains in complex manifolds

In this paper we find big Euclidean domains in complex manifolds. We consider open neighbourhoods of sets the form $K\cup M$ a manifold $X$, where $K$ is compact $\mathscr O(U)$-convex set an Stein neighbourhood $U$ $K$, $M$ embedded submanifold and $K\cap O(M)$-convex. prove Docquier-Grauert type theorem concerning biholomorphic equivalence such sets, give sufficient conditions for existence M$, to $\mathbb C^n$ with $n=\dim X$, that mapped onto closed C^n$.