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The point of a NLV is that you do not work.

This is a quote from the link.

Visa to reside in Spain without carrying out any gainful (work or professional) activity, provided that the applicant has sufficient and guaranteed means to live on.

If you want to work remotely you will have to wait until the digital Visa has been approved by the Spanish legal system.

There are plenty of news articles on this. The Spanish government has not published exact details.

Note links above are to the UK website as it is in English. You may need to find the relevant website covering the country you are from.

If you live in Spain you live in Spain more than 183 days per calendar year, from January to December (note that the days don’t need to be consecutive in order to count). 

@Djazi02

As @RibeiraSacra says, the NLV is "no lucrativa", for those that won't be (and don't need to be) working. Hence, you must show passive income (rents, dividends, pensions, etc.). There is a new visa for Digital Nomads (DNV) recently introduced, which is more appropriate for remote workers (if you meet the monthly income requirement). However, if you have sufficient savings, then you don't need any income (and you definitely shouldn't mention remote work). For the NLV (easiest option), It's approximately 30k euros for the main applicant, plus some extra (see guidance) for each family member.

There is a point at which you technically become a Spanish tax resident. So if you are very wealthy, or want to avoid this situation, then you simply have to stay below the days limit. However, lots of remote workers ignore this issue. It's not advisable, or a long-term solution, but it's quite commonplace.

In any case, even if you become a tax resident, you don't usually pay tax twice. Most countries have Dual Taxation Agreements with credit for tax already paid in another country. Or, you can stop being a tax resident in Algeria, or an employee of your Algerian company. Instead, your company can pay you (gross, hopefully) as a freelancer, and you register as self-employed ("autonomo") in Spain and pay tax and social security there instead. This is a good long-term option, if you decide your life will be in Spain indefinitely. But you will need to change status from NLV to autonomo, of course.

@RibeiraSacra  thank you so much for your answer

@gwynj  thank you so much