  New data on the Sivers azimuthal asymmetry measured in semi-inclusive
deep-inelastic scattering processes have recently been released by the COMPASS
Collaboration at CERN. Their increased precision and their particular binning,
in terms of $Q^2$ as well as $x$, motivates a new extraction of the Sivers
function, within the framework of a simple and transparent parametrization.
Signals of TMD effects visible in the Sivers asymmetries are critically
assessed. A thorough study of the uncertainties affecting the extracted Sivers
function is presented, including the low-$x$ and large-$x$ regions.
