Reina, 30, is expected to join the Serie A club on a season-long loan after Reds manager Brendan Rodgers admitted the Spain international's wage bill was prohibitive after the arrival of Simon Mignolet from Sunderland for £9million.
The move would see the Reina link up with former Anfield boss Benitez and goalkeeper coach Xavi Valero.
Argentina forward Higuain was a reported initial transfer target for Arsenal before the player revealed Jose Mourinho was keen to bring him to Chelsea after their time together in the Spanish capital.
Benitez is in the market for a goalscorer after Edison Cavani's move to Paris St Germain for 64.5m euros (£56m) earlier this month.
Reina's agent Manuel Garcia Quilon told Gazzetta.it: "He's happy to reunite with Benitez because he's known him for over five years from their time in Spain and England, and they worked very well together."