  Nucleosynthesis in evolved (RGB and AGB) low-mass stars is reviewed under the
light of the reaction rates recommended in the NACRE compilation (Angulo et al.
1999). We use a parametric model of stellar nucleosynthesis to investigate the
uncertainties that still exist nowadays on the nuclear data and to give a
critical point of view on the resulting evolution of the chemical abundances.
We discuss in particular (i) the NeNa and MgAl modes of hydrogen burning in the
context of the chemical anomalies observed in RGB globular cluster stars, (ii)
the helium combustion in a thermal pulse of an AGB star.
