De Spiegel says that Liverpool has now reduced their asking price for Uruguary's striker while they are looking for a buyer this summer.
The Reds will sell for € 50 million, with Napoli offering € 43 million in recent days.
The Azzurri is expected to return with an improved offer because they are looking for cover for the Prime Center-Forward Romelu Lukaku.
A move to Saudi Arabia cannot be discounted after Nunez was blocked by Liverpool in January by making a move of € 70 million to Al-Nassr.