Real Sociedad are reportedly interested in Mombaerts as they look for a new coach to replaced the departed Martin Lasarte
The Basque club parted company with coach Martin Lasarte following the last day of the season, with a 1-1 draw against Getafe ensuring the club's La Liga status for another campaign.
L'Equipe have reported that the side from San Sebastian are looking to France for a new man to take the club forward, with 56-year-old Mombaerts a possibility.
The Chantecoq-born coach has previously spent time in charge of clubs in his homeland, including Toulouse, Cannes and briefly Paris Saint-Germain.
He was approached to head up the national under-18's side for the 2007-08 season, before moving on to the under-21 age group, where he has remained in charge for the past three seasons.