The Knicks' push to land the forward from Italy was put on hold Sunday when a deal was not completed, but a person with knowledge of the discussions says the talks will continue.
The person spoke on condition of anonymity because the discussions were to remain private.
The seven-year centre/forward and former first overall pick for the Toronto Raptors would be headed to the Big Apple for a package that reportedly will include Steve Novak, Marcus Camby (a former Raptor) and a protected first-round draft pick.
It would be the first major deal for new Toronto GM Masai Ujiri.
Bargnani, a native of Rome, Italy, was the top player chosen in the 2006 draft by former Raps' GM Bryan Colangelo. Over a career where critics felt he failed to rise to that status, the 7-footer averaged 15.2 points and 4.8 rebounds.
His best year was 2010-2011, where he averaged 21.4 points and 5.2 rebounds.
Novak, a 6-foot-10 forward with a solid shooting eye, was also taken in 2006, second round by Houston. In 360 career games as a backup, he's averaged 5.3 points and 1.4 rebounds.
Camby, picked all the way back in 1996 by Toronto (second overall) has put in 17 seasons as a centre/forward, averaging 9.8 points and 9.5 rebounds. He saw action in just 24 games for the Knicks last year.