I hope it is acceptable to link to an external website for this - https://www.google.com/amp/s/amp.theguardian.com/lifeandstyle/2018/apr/22/20-best-vegan-wines-supermarkets-online

Basically if a wine says suitable for vegans in the bottle, you should be ok!
(I am not a vegan and don't drink alcohol in general, but I had a vegan boyfriend and a current vegan colleague at work)