7. Jose Valverde

Birthplace: San Pedro de Macoris
Years: 2003-present
Team(s): Arizona Diamondbacks, Houston Astros, Detroit Tigers
Record: 23-27 (242 saves)
Career Era: 3.02

Playing outside the major markets, Jose Valverde has nonetheless crafted a lengthy career as a high-quality reliever. He's led or tied for the league lead in saves three times, for three different teams, and just finished a perfect closer's season in Detroit, saving 49 games in 49 chances for the Tigers.