The 31-year-old Nesta has 78 Italy caps and played in three World Cups.
He has not played since the last group game against Czech Republic when he picked up a groin injury.
Italy's consistent failure to qualify for recent World Cups stems from a deep-seated issue in nurturing young football talent, according to 2006 World Cup winners Marco Amelia and Massimo Oddo.
AC Milan defender Alessandro Nesta has had surgery for a fractured arm and should recover for their opening Serie A home game against Lecce on August 29, the club said on its website (www.acmilan.com).
Juventus laboured to a 1-0 win at struggling Siena to end a barren four-match run in Serie A on Sunday while a late Alessandro Nesta double earned resurgent AC Milan a stunning 2-1 comeback triumph at Chievo Verona.
Juventus have appointed Thiago Motta as their new head coach to replace Massimiliano Allegri, the Serie A club said on Wednesday.
Filippo Inzaghi and Gennaro Gattuso both announced their departures from AC Milan on Friday, following in the footsteps of Alessandro Nesta, who revealed that he was leaving the Serie A club on Thursday.
Two goals from Ronaldinho helped AC Milan to a 3-0 win at toothless Juventus on Sunday which piled the pressure on Juve's rookie coach Ciro Ferrara.
Troubled AC Milan slipped back to sixth in Serie A on Sunday after they lost 2-1 at home to Atalanta and rivals Udinese beat Fiorentina 3-1.
Real Madrid became the first team to qualify for the last 16 of the Champions League.
His agent Bo Gustavsson told Reuters he had passed away Monday morning.
Barcelona top the LaLiga standings with 15 points, four ahead of Real Madrid and Villarreal. Girona are seventh on seven points.
Trying to pump up excitement, which has been largely missing in Rome in the run up to the kick-off, Italian soccer greats and 2006 World Cup winners Francesco Totti and Alessandro Nesta welcomed fans at the opening ceremony.