The Biancocelesti are currently working on the signings of Lucas Biglia and Bryan Perea, but they are also thinking about the future.
According to Il Corriere dello Sport, Lazio have agreed a €3 million deal for Empoli full-back Elseid Hysaj.
The talented defender is expected to increase competition at the right-back position with Luis Cavanda likely to leave following a contract dispute with the club.
Elseid Hysaj can play on either wing and he has enjoyed a very successful season at Empoli, making no less than 34 league appearances last term.
Meanwhile, Hajduk Split stopper Josip Elez is also nearing a switch to Stadio Olimpico after his employers accepted a €700,000 offer from the Biancocelesti.
The 19-year-old has only made three league appearances for the Croatian giants so far, but Lazio officials believe he has the potential to develop into a quality player.