Conte, who was appointed Italy coach last summer, could face trial for allegedly failing to report match-fixing while he managed Siena in 2010-2011, Ansa reported, citing judicial sources.
He is among 130 players, former players and managers implicated in the scandal.
The 45-year-old was suspended in 2012 for failing to report match-fixing when he coached the Turin team, Juventus.
He protested his innocence but was banned for 10 months, reduced on appeal to a four-month touchline ban.
The latest scandal comes after Juventus was relegated and stripped of two Serie A titles for its role in the Calciopoli match-fixing scandal in 2006, just months ahead of a World Cup which Italy went on to win.
Others under suspicion include Lazio captain, Stefano Mauri, and former Italy internationals Cristiano Doni and Beppe Signori, Ansa said.
Conte took over as Italy coach after Cesare Prandelli stepped down following Italy’s group stage exit in the World Cup.