TUESDAY, 10:17am: The Dodgers are now the front runner to sign Wilson, tweets Nightengale.

MONDAY, 9:24pm: ESPN's Jim Bowden lists the Giants, Pirates and Dodgers as front-runners for Wilson (on Twitter).

8:58pm: Wilson has narrowed his decision to three or four teams and is in the "offer/counter-offer" stage at this point, Miller tweets.

7:10pm: The Pirates and Giants are both "serious suitors" for Wilson, who appears close to signing soon, according to Scott Miller of CBS Sports. Miller adds that the Diamondbacks and Dodgers have some level of interest as well, and he notes that Wilson "has an affinity for Los Angeles." The Phillies were also thought to have interest prior to the six-game skid that has pushed them firmly into their stance as sellers.

3:52pm: The D'Backs are not in on Wilson, tweets John Gambadoro of Sports 620 KTAR.

2:52pm: The Pirates and Diamondbacks are the strong front runners for free agent reliever Brian Wilson, tweets Bob Nightengale of USA Today, who notes that Wilson has offers from four NL teams and one AL club. Yesterday, Yahoo's Tim Brown noted interest from the same mix of five teams.

Wilson, 31, auditioned for teams Thursday with the Pirates, Diamondbacks, Athletics, Giants, Phillies, Rangers, Rockies and Cardinals in attendance. The former Giants closer had Tommy John surgery in April 2012.

Steve Adams contributed to this post.