Upvote:2
It's a bit complicated, but, if you stayed in France for the last 6 months without leaving the country, you can spend an additional period of 3 months in any other EU country/-ies after expiration date of your D type visa.
In case you stayed elsewere in EU during the last 6 months of your D type visa, that time will be substracted from those 3 months you can stay after the expiration of the D type visa.
More information can be found at EU Migration and home affairs website.
Not sure about re-entry, though. Shouldn't be a problem, considering you don't need a visa for 3 months.