Romo's situation has been the focus of most of the Cowboys' off-season after rookie sensation Dak Prescott arrived and took over when Romo was injured during the 2016 preseason.
Romo, who turns 37 in six weeks, played 13 seasons for the Cowboys.
Both teams would be able to Romo without cutting any players, only needing $14 million in cap space to fit him onto the roster. It was reported earlier this week that a release would happen, but now someone might want to force the Cowboys hand and lock up Romo. I just wanted to come to tell you it's been a insane 48 hours here.
Mauricio Pochettino hails Tottenham's belief after holding out for win over Everton
As for Everton, Lukaku was largely contained by Tottenham's three-man central defence, but took his only real chance clinically. Ronald Koeman acknowledged Tottenham were deserving winners against Everton on Sunday, saying Spurs were the "better team".
Romo, who suffered a broken bone in his back during a preseason game a year ago, is the Cowboys' franchise leader in yards (34,183) and touchdowns (248).
Designating him as a post-June 1 cut would save the Cowboys $14 million, but that money wouldn't be available to them until June 2 - after the height of free agency. As pointed out by NBC Sports, John McClain of the Houston Chronicle said last November that the Texans would not pursue Romo. Perhaps the signing of one of Romo's former teammates is a sign of what's to come in terms of Denver's plan at the quarterback position.
His four Pro Bowl seasons all drove Dallas to the playoffs, but his stellar record as a starter failed to hold up in the most important games of the year.
With the quarterback market drying up, the Jets are exploring alternate means to acquire a new signal caller. The three way trade rumor between the Cowboys, Redskins, and 49ers quickly died, along with any fears that Romo would ever wear the Burgundy and Gold. He had started only four games in 2015.