I have had the same problem with mine colt, but it is easily can be fixed.
The front cover of the glove box is fitted with a kind of addhesive tape or glue so you can remove it if you use a I-shape screwdiver or somethig to detach the cover from the inside of the glove box.
when it is done you just need to fully remove the cover and there you will find the latch.
I hope it helps!
Cheers
Chris, August 2013
Had the same problem- its a design fault, (they did a re-call) for cars under warrenty, I bought 4 heavy duty adeshive magnets, which held the glove box closed, a treat.
