If I’m person from EU and I work for USA remote company. Is it possible for that company to pay taxes, insurance and pension contributions. And if yes how do?
Usually not. I was in the same situation and had to register a company in the EU. That way I pay my own taxes, insurance and pension contributions. If you do that, make sure to calculate the extra cost for insurance/taxes and raise your rates accordingly.
What was cost of the registration and is it good option for grads?
Think that depends on which country you’re in as well as the type of company you’re registering.
There would be nothing legally requiring a USA company to do any of that. When you negotiate the contract you should either increase your base price to include that or explicitly add it to the contract. It doesn’t hurt to pay a USA contract lawyer to write/review the contract to make sure it covers what you want.