Liverpool value Darwin Nunez in excess of £70million as they listen to offers this summer.
Al Hilal are one of the clubs keen on the Uruguay international who is ready to leave Anfield after a lack of starting opportunities under Arne Slot.
Al Nassr made enquiries to sign the 25-year old in January and were prepared to offer £70m but Liverpool were unwilling to listen at that stage as their focus was on winning the Premier League title.
Now, with clubs circling and tension high for the Club World Cup deadline, Liverpool want in excess of what Al Nassr were willing to bid earlier in the year.