Conte met with Inter president Steven Zhang on Tuesday.
Sky Italia says the respective lawyers were present during the meeting taking place in a villa outside Milan.
But the club has confirmed Conte as their head coach ahead of the 2020-21 season.
“Today's meeting between the club and Antonio Conte was constructive, in the name of continuity and shared strategy," the club wrote in an official statement.
“The foundations were established to continue the project together."