The Albania international joins Grimsby on a contract to 2027 with an option for another year.
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Kacurri has made one appearance for Arsenal and spent the first-half of the season on-loan with Morecambe in the National League.
"Maldini is a physically strong, commanding centre-back who will add real presence and resilience to our defence," Grimsby manager David Artell told the club's website.
'"Beyond his defensive qualities, he's a young player with huge potential, and we're excited about the energy, attitude, and determination he will bring to the squad both on and off the pitch."