Soria, one of the top relievers available on this year's free-agent market, posted a 2.53 ERA over 72 combined outings between the Tigers and Pirates last season. He pitched particularly well down the stretch, piling up a 2.03 ERA in 29 appearances for Pittsburgh after being acquired at the Trade Deadline.
Young, 36, went 11-6 with a 3.06 ERA in 34 games, 18 of them starts, for the Royals last season after joining them as a free agent in March. He won a game against the Mets in the World Series.
The 31-year-old Soria spent his first five seasons with Kansas City, registering a 2.