The forward helped Senegal beat South Africa 2-0 on Friday to secure a place in its first World Cup since 2002.
The original hamstring issue which kept Mane sidelined for five games was sustained during the previous time he was on duty with Senegal, who play South Africa again on Tuesday.
But the Senegalese FA have confirmed the 25-year-old has returned to Merseyside.
Mane left for worldwide duty following his surprising return to Premier League action against West Ham, having been previously indisposed due to a hamstring injury sustained during the previous global break.
Mane's return to action against the Hammers was well ahead of schedule, so it's not a bad idea to send him back to Liverpool's doctors.
He left the worldwide camp following the return of an "old injury".
Liverpool boss Jurgen Klopp had hoped Mane would be allowed to return to England if Senegal qualified for the finals in Russian Federation before they meet South Africa again on Tuesday.
"After consultations between the medical staff of the national team of Senegal and Liverpool, it was decided by mutual agreement to make it available to his club to continue treatment until full recovery", the statement added.
Liverpool face Southampton on Saturday before travelling to face Sevilla in the Champions League three days later.