  We present a global re-analysis of the most recent experimental data on
azimuthal asymmetries in semi-inclusive deep inelastic scattering, from the
HERMES and COMPASS Collaborations, and in e+e- --> h_1 h_2 X processes, from
the Belle Collaboration. The transversity and the Collins functions are
extracted simultaneously, in the framework of a revised analysis in which a new
parameterisation of the Collins functions is also tested.
