The Ligue 1 title-holders have secured the services of the Swiss goalkeeper, though he plans to return to the German club after retirement
Diego Benaglio has signed a three-year contract with Ligue 1 champions Monaco after leaving Wolfsburg.
The 33-year-old's contract at Volkswagen Arena still had two years to run but he has opted to move to the Ligue 1 champions, agreeing a deal at Stade Louis II through to 2020.
The former Switzerland goalkeeper, who retired from international football in 2014, will compete with Danijel Subasic and Morgan De Sanctis for the number one shirt at Leonardo Jardim's title-holders.