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De jure there are dozens of complex laws and regulations regarding remote employment, under which you may or may not need a special visa in order to work remotely in a given country. Tax laws are an additional complication, where countries such as the UK can deem you as a tax resident for spending as little as 16 days on British soil. And things might be even more complicated if your employer has an office in the country of your travel.
De facto, as long as you don't mention your remote job to immigration personnel at the airport or your employer, there's a 99.99% chance no one will ever find out. There are hundreds of thousands of people breaking the law by being employed at on-site jobs in Italy, so digital nomads are a pretty low priority for law enforcement. You're not taking away jobs from local employees so while the letter of the law may or may not apply to your situation strictly speaking, you won't be breaking the spirit of the law.
Upvote:-6
You need to ask your company about that & it depends on the company if your company allows then you can work remotely from anywhere in the world if your company allows.
Upvote:1
Lots of countries these days are creating digital nomad visa's to account for traveling remote workers. Italy doesn't appear to be one of these countries though.
To work in Italy, in any capacity you do have to have a work visa. That is just in consideration with the legalities of Italy though. Your own company may have its own set of rules regarding where one can work remotely as well.
However, depending on the exact nature of your employment relationship in the UK you may be able to qualify for a self-employment visa in Italy to allow you to continue to work there while in the country.