Clutch bites high up on pedal movement

Sounds like the clutch cable needs adjustment so that the clutch is completely disengaged for shifting. Being a hydraulic clutch operation system there is no adjustment I'm afraid bar pedal height at the master cylinder push rod to pedal and that wouldn't solve the problem - as over all adjustment generally occurs as the clutch wears..so a good clutch would bite in the region of between the floor and mid way on the clutch pedal travel..if bite point is flat to floor then it possible you have drag on the clutch or its not clearing properly either a fault on the release system/hydraulic side either weak slave/master cylinder "prob try to bleed through again maybe and see if any improvement is felt"..or defective drive plate, buckled plate,weak pressure plate which releases the friction plate or seizure on spines/seized spigot bearing all of which would require inspection with the gearbox out. Hope this helps.

Your clutch disc is worn out.

it is possible, however what is most likely is that the clutch cable needs adjusting

Renew the clutch cable its a auto adjust mechanism and the cable comes with a plastic tie around the middle bit so fit the cable and then and only then remove the tie ,this is a difficult job and not easy for a weekend mechanic so be warned

Could be about to fail. The point where the clutch "bites or grabs" is normally half way from floor to top position.

The clutch is worn out, this system is not adjustable as the clutch disk wears the pedal moves "up".

The reason for the high biting point is simple. The clutch is made of 3 main components.
The pressure plate friction plate and the release bearing.
The more times clutch is depressed the concentric spring fingers wear in 2 ways . Firstly by good old metal to metal rubbing and secondly the concentric spring fingers don't return as far as a new one causing the release bearing or csc to adjust .
When the pressure plate concentric spring gingers wear they don't sit proud and require more pedal effort to depress. .
When they loose there spring like feature they require a greater distance from the release bearing. Or it has to travel further to depress them to lift The pressure plate and fee the friction plate from the lay shaft on which it is splined onto to give you drive once released.
The further back the bearing has to travel to allow the fingers to clamp the pressure plate to the friction plate . The more the clutch has become worn and unserviceable.
Self adjustment on hydraulic clutches are a hard one to gauge as you have no idea how far the piston has moved out to compensate for this wear . With a cable you can physically see the wear and adjust .
High biting points on any car are useless. You want a biting point to be 2 to 3 inches from the top and not nearly level with the brake pedal.
Anyway it seems apparent that Peugeot and Citroen both have high to almost no point at which they bite .
I myself would modify this as an engineer.
But it seems to be normal on these cats to have absolutely no biting point worth talking about.
My sisters 2012 206 1.4 is a very high biting point and I myself would not be happy with it . It gives u no indication of a worn clutch if its self adjusting.
Alll hydraulic clutches are self adjusting. So why are Peugeot and Citroens sooo high. Its ridiculous.
A very idiotic idea and I'm taking it back with her and I'm complaining. Hopefully I should get somewhere and ill update you all

No it just needs adjusting. Don't adjust it very tight adjust until the preasure comes on the pedal about half way up or where you are comfortable with it. Cheer's

your pressure plate is damaged.Replace cutch asseberly

Your car uses a hydraulic clutch, they are self adjusting and there is no way to adjust them provided, when the pedal engages near the top of its travel this means the clutch disk is worn out.