Alburquerque, 29, was non-tendered by the Pirates last month and will be under Angels' control for two seasons as a second-year arbitration candidate. The reliever will join right-handers Huston Street, Joe Smith, Mike Morin, Fernando Salas and Cory Rasmus in a crowded bullpen mix that could undergo more change by the end of the winter.
Alburquerque has spent his entire major-league career with the Tigers, posting a solid 3.20 ERA in 241 appearances over five seasons. He was 4-1 with a 4.21 ERA in 67 appearances last season, and saw a rise in his numbers across the board.
Alburquerque is the latest free agent to sign this winter, joining fellow Angels' additions Geovany Soto, Cliff Pennington, Craig Gentry and Daniel Nava. For the latest look at where every free agent is signing this winter, check out our free-agent tracker.