"I can confirm that Michael met with Coach Dungy," Vick's agent, Joel Segal, said. "The discussions were private, but the meeting was very positive."
Vick met with Dungy to discuss his life after he gets out of prison. He is scheduled to leave Leavenworth May 20 and serve the remainder of his sentence under home confinement at his five-bedroom home in Hampton, Va., with his fiancée and two of his children.
His sentence ends July 20, and he will be on supervised probation for the next three years.
Once he leaves Leavenworth, he will work 40 hours a week at a construction company in Hampton, making $10 an hour.
Vick pleaded guilty to a federal charge related to funding a dogfighting operation, and was suspended indefinitely by the NFL in August 2007.
Vick is hoping to return to the NFL this fall. Commissioner Roger Goodell, who suspended him indefinitely, will meet with Vick later this summer to discuss whether he can go back on the field. A meeting with a respected figure such as Dungy could help his return.
Dungy had addressed plans for the visit when he was interviewed last week on "The Dan Patrick Show." Dungy said he had met Vick in 2005 when the Colts played the Atlanta Falcons -- the team that holds Vick's rights -- in Japan.
"I am going out there to really talk about life. To talk about the Lord," Dungy said on the show. "I know he has made a profession that he has accepted the Lord into his life. Talk to him about what he's going to face. Most people are going to be against him. He's got to understand that."
John Clayton is a senior NFL writer for ESPN.com.