After dealing Yasmani Grandal to Los Angeles in the Matt Kemp deal, the Padres were in need of a new backstop. It didn't take long for them to replace Grandal, as the team acquired Norris shortly after the Kemp deal went through.
Pitcher Seth Streich will also head to the Padres in the deal, according to FoxSports.com The 23-year-old posted a 3.16 ERA over 114 innings in High A last season.
The 25-year-old Norris is coming off a season in which he hit .270/.361/.403 over 385 at-bats. Norris is under team control through the 2018 season.
Hahn, 25, posted a 3.07 ERA over 73 1/3 innings in the majors last year. He was excellent in Double-A, posting a 1.91 ERA in 42 1/3 innings before being called up.
Carter spent last season in Japan, pitching for the Nippon Ham Fighters. He posted a 3.97 ERA over 45 1/3 innings.
Lannan made five appearances in 2014 with the Mets, going 1-0 with a 15.75 ERA. He was also a member of the Nationals from 2007-2012, where in 2009 he threw 206 1/3 innings, going 9-13.
Miller made eight appearances for the Tigers in 2014, posting a 5.11 ERA with five strikeouts while Perez appeared in just one game last year with the Cardinals.
"We last spoke during the (Winter Meetings) and the door is still open to discussions," said Xavier D. James, who co-represents Grilli with retired outfielder Gary Sheffield. "We will be patient."
The 12-year vet Grilli spent the 2014 season with the Pirates and Angels, going 1-5 with a 4.00 ERA and 12 saves in 62 appearances. He was an All-Star closer for the Pirates in 2013.
De La Rosa was 2-0 with a 2.95 ERA in 25 relief outings for Arizona in 2014, while Rodriguez was 1-0 with a 1.00 ERA in seven relief outings for Oakland.
De Leon was designated for assignment by the club last week, and the team couldn't find a way to deal him. De Leon appeared in eight games last season, posting a 4.91 ERA over 7 1/3 innings.
Hernandez was eligible for arbitration, but settled on a $2 million salary figure for next season. The 29-year-old posted a missed all of last season after undergoing Tommy John surgery.
FOXSports.com Baseball Writer Ken Rosenthal was the first to report the signing.
Romo recorded 23 saves in 2014 for San Francisco, posting a 3.72 ERA in 58 innings of work. Romo was also reportedly being pursued by the Dodgers, Yankees and Red Sox this offseason.
Bawcom has yet to pitch in a major league game. His production slipped at the Triple-A level last season as he compiled a career-worst 4.72 ERA.