Does the original owner get it back? And if they do is the person that bought it reimbursed for buying it?

I can't comment about procedures with regard to stolen players, for the reason Tony mentions. That and the fact that I don't know -- that's David's department.

Having said that, to answer the second part of your question: In the UK, recovered stolen cars are returned to the original owner (if one can be found). The person who bought it has no right to compensation.

This sucks for the person who bought the car in good faith, only to have it taken away. Arguably, however, they did have the opportunity to check whether the car was stolen -- they don't have to buy it. The original owner didn't have the opportunity to prevent their car being stolen. So it seems fair to me that the original owner should get their car back.

I imagine that it's similar for other goods. I don't know what the legal situation is in other countries, though.