I’d try Ajax or Jiff. I’d be surprised if they didn’t work.

firstly try a wet wipe, then, trial the next things im suggesting in tiny amounts first at the edge of the mark, on a cotton bud tip or similar. Id suggest a pea sized blob of cream cleaner, worked in tiny circles in wards. You could also try autosol or white toothpaste, again tiny amounts.The black marks atr in the surface, not on ut, which is why you need this aporoach rather than a spray/ wet option.

Eucalyptus oil can be helpful – test in a small unnoticeable patch though. I’m suggesting it as something that has cleaned a lot, but I’ve never used it on vinyl.

Can you try to rub it with rubber?