The classical splitting theorem says that manifolds with Ric>=0 split along geodesic lines. In the spirit of Abresch-Gromoll, Cheeger and Colding managed to prove that for almost non-negative Ricci curvature and geodesic segments one has almost splitting in the Gromov-Hausdorff sense. We will give an overview of the main ideas involved in the proof, including a review of Gromov-Hausdorff convergence, warped products and relevant tools.