That rejection is a new feeling for the Pats, who are used to veterans accepting less money for a Super Bowl run in New England.
Much to Williams' surprise, the Vikings also made an offer after failing to contact their former star since the start of free agency.
"It was shocking that they got back in the fold at the end there," Williams said. "I just think there were better pieces in place in Seattle. The familiarity with being in Minnesota was there, but a chance to (not) know if they're going to win 10 games or three games (played into it). I wish them luck, but there's no certainty there, and you have a proven quarterback in those two teams (Seattle and New England)."