Well, we have those taekwondo/sanda protector which seem slim and are suitable for kicks, so I understand the give some sort of protection.
For example:
3w.artesguerreras.es/WebRoot/StoreES/Shops/ea3196/4991/255C/143F/F97C/9841/52DF/A378/1FF6/SANDA_03_003_07.jpg
Never wore some of them anyway, so I can't guarantee.
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