The Slovak company Novesta makes some: https://www.gonovesta.com/en/vegan-shoes Star Master / Dribble and a couple of other models are also made just from cotton, caoutchouc (so plastic-free except for the insole which is recycled rubber). Leather, rubber and synthetic material shoes are also available if you prefer that. Personally, I own a pair of Star Masters and they are pretty nice, although for my next purchase, I would choose shoes that are less flat. Also important to note: after 2 years, the heel counter is getting worn out from the inside.

Do they not licence their brand name to other companies?

As a Slovak, I am frustrated. The opposition seems unable to gain support from voters on the countryside, which is the majority of the population - they are the easiest to convince, usually by lying and fearmongering (i. e. “Korčok will send slovak men to Ukraine”), or giving promises they plan on never achieving but sound nice (reducing prices, even though they are doing the opposite).

The current government has plans to dissassemble the slovak TV and radio in favour of a state influenced alternative (essentially for propaganda purposes), is reducing punishment for criminals, rapists and thieves (as many of them are now in the government).

The country’s debt is growing (now at ~7b euros), railways, healthcare and schools are falling. Things still kind of work, but they are held by duct tape.