TheFork users who ate in Vanves have said really good things about Mamasol, Big Fernand - Issy les Moulineaux and Le Marguerite 1606. Maybe you should give them a try!
Some of the more popular Locally produced restaurants that offer local food options on their menu in Vanves according to TheFork users include:
Mamasol, with a 9.5 rating
Big Fernand - Issy les Moulineaux, with a 8.8 rating
Le Marguerite 1606, with a 9.1 rating