Pedzisa mutsara unotevera: Musi waNovember 4, 2012, Peralta akasaina chibvumirano chemakore maviri, chemamiriyoni matanhatu emadhora, nesarudzo dzekirabhu dza2015 na2016. Andrew Friedman, mutevedzeri wemutungamiri weRays weBaseball Operations akati nezvake panguva iyoyo, "Tinoda kukwikwidzana kwaJoel uye kukanganisa kwaanoita kune vadiki vadiki mu bullpen yedu". Akaita basa rakakwirira 80 kuonekwa muna 2013, achitungamirira Majors uye achigadzira rekodhi yekirabhu yemuputi wekurudyi uye mwaka wake wechitatu wakatwasuka 70-plus kuoneka mwaka. Akanga ari 3-8 ane 3.41 ERA. Akakanda inning imwe isina zvibodzwa mu
2013 American League Wild Card Game kurwisa Cleveland Indians uye akaita maviri asina zvibodzwa kuoneka mu2013 American League Division Series kurwisa Boston Red Sox. Peralta akaonekwa mumitambo 69 muna 2014 uye aive 3-4 aine 4.41 ERA.