Cooperation is below policy level but does depend on staffing at appropriate agencies. It gets complicated by levels of opsec between allies and how a number of European states have poor info sharing between domestic agencies.
For France the concerns are around over extended domestic army deployment and questionable commitment of Macron towards the defense budget. The GIGN are awesome but potentially understaffed.
Maybe y'all could just invade Belgistan for a little while and clean up the neighborhood?