Don't know how much reliable this is. But Liverpool is also interested in Rodrygo they say. The reason why I said "also" is that his name was called with Manchester City as well in the past. But what happened later on? It just stayed as a rumour. Not even an official offer. Maybe they made an enquiry and got a negative answer, I don't know.
Rodrygo is one of the really big young talents. No wonder why he is getting such a huge attraction by rich teams.Would Real Madrid let him go though? I don't think so. Probably they will ask for an astronomical fee which will be declined quickly. In the RW position there is no other player better than him at Real Madrid right now.
If Madrid made him available for sale, several teams will come for him including Manchester City, Liverpool, PSG, and others because he is a world-class player that have good experience.
Liverpool looks serious because they are certain that they will lose some important players at the end of the season, so they will start preparing for their next squad which is why they are looking any available player that can help the team to maintain the team’s standard next season.