Red Sox chairman Tom Werner and president Larry Lucchino, along with other team officials, will meet with Wilder, who has been director of player development for the world champion White Sox for two years, the team announced Friday.
In his current job, Wilder oversees Chicago's entire minor-league department and player development staff as well as the club's Latin American operations.
Before joining the White Sox in 2004, he was assistant director of scouting and player development for the Atlanta Braves from 1991-95; farm director and assistant general manager with the Cubs from 1996-99; and vice president of player personnel and special assignment scout with the Milwaukee Brewers from 2000-03.
He was also a member of the United States Olympic Baseball team's selection committee in 2000, helping assemble the team that won the gold medal at the Sydney Games.
The Red Sox announced Thursday they invited former Orioles executive vice president Jim Beattie and Washington Nationals general manager Jim Bowden for second interviews and planned to interview two other candidates.
Boston is looking for a replacement for Theo Epstein, who left Oct. 31 after he and the team could not reach agreement on a new contract.