Dallas radio station 105.3 The Fan broke news of the meeting between the mercurial Bryant and Jones.
The Cowboys will owe Bryant $8 million in dead cap money, but save $8.5 million against the cap for the 2018 season.
As for Bryant, it's easy to identify a number of clubs that could have interest, including, yes, the New England Patriots but also the Green Bay Packers, who are undergoing a sea change at receiver after releasing Jordy Nelson and could use another red-zone threat across from Davante Adams.
Jones and vice president Stephen Jones tap-danced around the issue at the NFL Scouting Combine in February, but indications from each side of the talks indicated Bryant wasn't long for Dallas. In 2017, Bryant caught 69 passes for 838 yards and six touchdowns in 16 games.
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Bryant, who was sending up a tweet storm after his release, hinted he would love to stay in the NFC East so he could play the Cowboys twice a year. I'm bothered because I said publicly I'm unbothered. "I can only control what I can control is what I tell myself.again unbothered".
Donning the No. 88 made famous by Hall of Famer Michael Irvin and another longtime Cowboy, Drew Pearson, Bryant didn't waste much time showcasing his starting potential, scoring three touchdowns, including one as a punt returner, during "Monday Night Football" in October and becoming the first Dallas rookie to top 100 receiving yards since Antonio Bryant (2002) a month later.
He later added: "The take from today. I want to get it all the way right".
Now, for the first time in his career, he's on the open market, leaving the Cowboys receiving corps in disarray.
Bryant's status with the team has been the biggest storyline of the Cowboys' offseason, and the waters were only muddied by the team's signing of free agent wide receiver Allen Hurns.