Jairus Byrd has drawn interest from the Redskins. (Gary Wiepert/Associated Press)

Determined to fix their problematic secondary, the Washington Redskins continue to hold discussions with a number of the top defensive backs on the market, according to multiple people with knowledge of the situation.

The Redskins over the course of the past several days have expressed interest in Buffalo safety Jairus Byrd, Baltimore cornerback Corey Graham and Carolina cornerback Captain Munnerlyn.

Add those names to the list that already includes New England cornerback Aqib Talib and Carolina safety Mike Mitchell.

There obviously are varying degrees of interest in players, and Washington has put out feelers to a wide range of prospects as team officials began the evaluation and negotiation process.

Players can’t sign contracts with new teams until 4 p.m. on Tuesday.

Byrd is regarded as one of the top safeties on the market. The sixth-year veteran and three-time Pro Bowl selection missed time early last season with a foot injury. He recovered to appear in 11 games, recording 48 tackles and four interceptions. For his career, the 5-foot-10, 203-pound Byrd has tallied 356 tackles and 22 interceptions.

Talks between Washington and Byrd’s camp weren’t yet at a serious point, a person with knowledge of the situation said. But it is believed that they could intensify.

The Redskins face competition for Byrd’s services as the Miami Dolphins and Philadelphia Eagles rank among teams reportedly interested in him. It remains to be seen if Washington could meet his asking price, however. Some reports say that Byrd, who played under the franchise tag last season, seeks a long-term deal that would pay him around $9 million per season.

Munnerlyn, although only 25, just completed his fifth season out of South Carolina. The 5-foot-8, 195-pound cornerback last season recorded 74 tackles, two interceptions and 12 pass breakups. He scored touchdowns on two interceptions.

Graham, 28, just completed his second season with the Ravens, and his seventh in the NFL. He spent the first five seasons of his career with Chicago. The 6-foot, 196-pound Graham last season recorded 74 tackles, 12 pass breakups and four interceptions.

The Redskins were said to have “significant interest” in Graham’s services.

Washington hopes to find a cornerback to start opposite DeAngelo Hall, and would continue to use second-year pro David Amerson as the third corner.

The team also needs to fill both starting safety spots, as well as two inside linebacker positions. Washington also is expected to address the wide receiver position and the offensive line. Steelers slot receiver Emmanuel Sanders is among the players who have also drawn interest from Washington.

Have a Redskins question? E-mail Mike Jones at mike.jones@washpost.com with the subject line “Mailbag question” for him to answer it in The Mailbag on Tuesdays.

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