French troops stationed in the country's south-west have been told not to wear their uniforms when off base, reports say.
The order comes after two paratroopers were shot dead and a third injured as they used a cash-point in the south-western town of Montauban on Thursday.
Investigators are linking this to the killing of a paratrooper in Toulouse on Sunday.
France's defence minister has said no theories are being ruled out.
Asked if terrorism could be the motive, Gerard Longuet said: "Nothing permits us to rule out one theory or another."
France's elite airborne units are based in the south-west.
The dead paratroopers' regiment - though not the men themselves - recently served in Afghanistan, but French Foreign Minister Alain Juppe said there was "no kind of proof or indication" of a link.
http://www.bbc.co.uk/news/world-europe-17397354
It seems odd that someone or some group could be picking these guys off so easily. Now they are being told not to wear their uniforms off base. It seems to me they would want to be prepared and armed to let these guys come after them and know what they're dealing with.