That's a terrific link; Table 3 appears to be the most informative. It may somewhat understate the difference between racial groups, in that someone born in France of Algerian parents, e.g., is counted as "native-born" for purposes of the survey.
Having said that, the whole point of the paper appears to be that most existing research overstates the difference between foreign- and native-born fertility in France.
Unfortunately (and unavoidably, probably), the data stop in 1998.