Salah has a contract at Liverpool until 2023 but he has been linked with a move away from the club.
The Mirror claims both Real Madrid and Juventus were readying £150million offers for the Egypt international.
However, Salah is prepared to stay at Anfield for another season at least.
The Egyptian was said to be tempted by a possible move to Real Madrid or a return to Italy with Juventus, having played in Serie A before with Fiorentina and Roma.
But after leading Liverpool to Champions League glory he thinks it is right he stays for the time being.
Salah had another fine season in front of goal for Liverpool.
After netting 44 times in his debut campaign at the Reds, he scored 27 in all competitions this time around.
His performances were not enough to land him a place in the PFA Team of the Year though.
His strike partner Sadio Mane snuck in ahead of Salah after scoring 22 goals in the Premier League.
The Mirror claim Liverpool have also received enquiries from top European clubs for Mane.
However, the Senegal international is happy at Anfield for now.
Mane signed a new contract at Liverpool last November to keep him at the club until 2023.