The 2021 campaign for permanent research positions at the CNRS (Centre national de la recherche scientifique) is open (see the submission site). The deadline is January 7th 2021 (13:00 Paris time). There are 242 open positions at the CR level and 261 for DR2: these numbers have been almost constant since 2019, as shown in the graph below:
The results of the 2020 campaign are no longer available on the CNRS site, but they have been aggregated by François-Xavier Coudert here. It might be interesting to note a large number of changes (marked by red background) between the admissibility and the admission phases.