Graham has four seasons with double-digit receiving touchdowns.
Teams can now contact the representation of pending free agents.
It would be a mistake for the Packers to pay Graham $10 million per year.
NFL Network's Mike Garafolo, was quick to point out a new era in Green Bay has begun with their interest in Graham.
Over three years with the Seattle Seahawks, Graham caught 170 passes for 2,048 yards and 18 touchdowns, including 10 in 2017.
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While the Packers had been mentioned as a possible suitor for Graham, there had been a growing thought in the last day or so that he would return to his old home in New Orleans. But otherwise the season was something of a washout as he had just 57 catches for 520 yards - a career-low average of 9.1 per reception - and was tied for second in the National Football League in drops with seven.
They've got some big questions at the tight end position. They should be focused on paying for future production, not past production.
Green Bay should focus on spending money on the defense and fill the tight end void via the draft.
After a torn pattelar season ended his first season in Seattle, Graham bounced back in 2016, appearing in all 16 games and recording 65 receptions for 923 yards and six touchdowns.
According to several reports, Kirk Cousins is set to join the Minnesota Vikings and if the Packers stay put defensively, they will be playing for second place. The star tight end never seemed to make a major impact with the Seahawks, but he's now headed to a team where he could do some serious damage.