Well, technically Pakistan shot a Indian Rafale with a Chinese made missile a few months ago, which created some consternation in France. I heard the French explaining it away, as India trying to bomb some Pakistani territory without hitting the Pakistani military, hence putting their jet fighters in unecessary harm's way. I am not qualified to draw my own conclusions on the quality of Chinese weapons but it seems to imply they can certainly do significant damage.
Rafale was shot down by J-10 plane using PL-15 missile.
Rafale, Eurofighter and J-10 are old 20+ years designs.
Europe has nothing equivalent to Chinese J-35 or even previous generation J-20.