Measured foliations at infinity of quasi-Fuchsian manifolds are defined as the horizontal measured foliations of the Schwarzian derivative at their boundary at infinity. We ask which pairs of measured foliations on a closed Riemann surface can be realised as the measured foliations at infinity of a quasi-Fuchsian manifold. In this talk we will discuss a result that close the Fuchsian locus, any pair of filling measured foliations with small transverse measure answer the question above partially. This is based on joint work with V. Markovic.