The 31-year-old has two years remaining on his deal in England but was loaned out to Serie A for the duration of last season as Brendan Rodgers made Simon Mignolet his number one stopper at Anfield.
Reina’s future has been uncertain since manager Rafael Benitez admitted Napoli were unable to afford a permanent move for the Spain international.
Atletico Madrid and Barcelona have been among the clubs linked with a bid for Reina this summer, but agent Manuel Garcia Quillon says he will be returning to his parent club.
"I know rumours are circulating about Reina’s future. But I can confirm that next season Pepe will play for Liverpool," he told Tuttonapoli.it.
"Reina will respect his deal with the English side."