The situation is as follows: there's a website that connects sellers and buyers, like Ebay.
Among other things the owner of the website needs to know the details of each transaction initialized from there. Essentially I am looking for a payment method that returns a digital receipt.
Is it possible to do something like that with PayPal?
This has nothing to do with PayPal. Your notification of this "market website" needs to be done in your own code.
So yes, it is possible.
Of course you can do it like this.
Couple of things that you will have to do:
Things to note: