Details are not available yet, Topkin said, but the deal is reportedly worth $6 million over two years. There is also reportedly a $2.5 million option for 2015.
Peralta, 36, has been the Rays' set-up man for the last two seasons. In 2012, Peralta had a 3.63 ERA in 67 innings. He struck out 84 and walked 17.
His 2011 season -- his first with the Rays -- was even better. He finished the year with a 2.93 ERA in 67.2 innings of work. He struck out 61 and recorded a 0.91 WHIP.
After picking up the option on closer Fernando Rodney, the Rays will return the back end of their bullpen for the 2013 season. Relievers J.P. Howell and Kyle Farnsworth are also free agents.
The Rays went 90-72 last season and finished third in the American League East. They did not make the playoffs.