It is a reasonable assumption. I would hope that if Uber complies with whatever laws they were found to be violating, that they could continue operating. Howev

It is a reasonable assumption. I would hope that if Uber complies with whatever laws they were found to be violating, that they could continue operating. However, whether that's a plausible outcome depends on the reason why they're banned. If the Italian court determined that the "ease of hailing rides through a smartphone app" was the reason why competition was "unfair" (just to make something up - I haven't been able to discover the actual reason), then there's no real way for them to come into compliance.