NEW YORK (Reuters) - The Boston Red Sox added one more piece to their bullpen by signing former New York Yankees reliever Alfredo Aceves to a one-year contract on Tuesday, according to a report on Major League Baseball's website.

Aceves, whose 2010 season with New York was cut short due to a back injury, signed for $650,000 with another $100,000 in incentives, the website said (mlb.com said).

The Mexican right-hander, who also broke his collar bone this offseason in a bicycle riding accident, was 3-0 with a 3.00 earned run average last season in 12 innings.

Over his three major league seasons, all with the Yankees, the 28-year-old Aceves is 14-1, including a 10-1 mark in 2009.

The Red Sox signed former Chicago White Sox closer Bobby Jenks and Tampa Bay Rays reliever Dan Wheeler earlier in the offseason.

(Reporting by Larry Fine, Editing by Frank Pingue)