  Let $a: I\to \mathbb{R}^3 $ be a real analytic curve satisfying some
conditions. In this article, we show that for any real analytic curve $l:I\to
\mathbb R^3$ close to $a$ (in a sense which is precisely defined in the paper)
there exists a translation of $l$, and a minimal surface which contains both $
a $ and the translated $l$.
