Mezue ahịrịokwu na-esonụ: Na Nọvemba 4, 2012, Peralta bịanyere aka na afọ abụọ, $ 6 nde nkwekọrịta, na nhọrọ klọb maka 2015 na 2016. Andrew Friedman, onye isi oche nke Rays nke Baseball Operations kwuru banyere ya n'oge ahụ, <unk>Anyị hụrụ asọmpi Joel n'anya na mmetụta ọ nwere na ndị na-eto eto na-eto eto na bullpen anyị.<unk> O mere ọmarịcha egwuregwu 80 n'afọ 2013, na-eduga ndị isi ma na-esetịpụ ndekọ klọb maka ọkpụ aka nri na oge nke atọ ya na-egosi ihe karịrị 70. O nwere akara 3-8 na 3.41 ERA. O tinyere goolu na-enweghị isi n'asọmpi a.
2013 American League Wild Card Game megide Cleveland Indians ma mee ihe ngosi abụọ na-enweghị isi na 2013 American League Division Series megide Boston Red Sox. Peralta pụtara n'egwuregwu 69 na 2014 ma bụrụ 3-4 na 4.41 ERA.