Yes. OpenReplay is free or has a free plan, according to the pricing each company publishes. Free plans usually carry limits; each product page links to the company's terms.
Which European error monitoring tools are open source?
OpenReplay publishes its source code under an open-source licence. Each product page shows the licence and where the code is.
Which European error monitoring tools can you host yourself?
OpenReplay can be run on your own servers, according to its own documentation.