The Cowboys have brought in several college prospects to visit Valley Ranch over the past two days.
They can bring in up to 30 players for national visits.
Among the confirmed players who have made the trip to Valley Ranch: Pittsburgh defensive tackle Aaron Donald, UCLA linebacker Anthony Barr, Ohio State linebacker Ryan Shazier, Florida State cornerback Lamarcus Joyner, Boise State Demarcus Lawrence, Northern Illinois safety Jimmie Ward, Missouri defensive end Kony Ealy, Florida State defensive end Timmy Jernigan and North Dakota State tackle Billy Turner.
The Cowboys are planning more visits on Wednesday.
Donald has been projected to the Cowboys in several mock drafts, and in an interview with the Cowboys' website he said he would like to play for defensive coordinator Rod Marinelli.
"I had the opportunity to talk to him a couple times at the combine; I talked to him [Sunday] and I talked to him [Monday]," Donald told the website. "He's a great coach, and just talking to him and looking in his eyes -- the way he talks, he's got a passion for the game of football and he loves the game of football."