Grapevine product Henry Melton remained at Valley Ranch on Monday night, according to a source. But several teams remain in the hunt for the defensive tackle's services.
He has visited the Vikings and the Seahawks, and the Bears, Rams and Raiders also have interest.
Melton wants a short-term deal to prove his health after undergoing reconstructive surgery on his left knee in October, but he still might be asking more than the Cowboys are willing to spend.
Dallas has less than $7 million in salary-cap space after signing Brandon Weeden to a two-year, $1.23 million deal on Monday.
Defensive end Jared Allen is scheduled to arrive at Valley Ranch on Tuesday for a visit. His asking price likely will have to come down for the Cowboys to have hopes of landing him.
The Cowboys are seeking replacements for defensive tackle Jason Hatcher, who signed with the Washington Redskins, and defensive end DeMarcus Ware, who signed with the Denver Broncos after the Cowboys released him.
Free-agent defensive end Anthony Spencer remains on the market.
-- Charean Williams