The 24-year-old makes the move north after three years with Exeter Chiefs, with Cordero joining fellow Argentinians Sebastian Cancelliere, Domingo Miotti, Enrique Pieretto and Lucio Sordoni at Scotstoun.
Having initially moved to Sandy Park in 2020, Cordero went on to make 33 appearances for the English Premiership outfit, crossing the whitewash on eight occasions across all competitions.
Comfortable on either wing or at full-back, the former Jaguares flyer blends electric top-end speed with scintillating footwork, a sublime solo try against Sale Sharks in March 2021 showcasing his abilities to the fullest extent.
Cordero - who has already arrived in Glasgow - will link up with the rest of his new team-mates at Scotstoun ahead of the club's BKT United Rugby Championship Round 16 clash with Munster, as the Warriors continue their push for a place in the top four.
"I'm very happy to be joining the boys here for the rest of the season," Cordero told glasgowwarriors.org.
"I've really enjoyed getting to know everyone so far, and I'm keen to get some game time for this club.
"Having four fellow Argentinians here already really helped me out - the guys came and picked me up from the airport, and they've already acted like my family since I arrived!
"I've already had some good chats with Franco and the coaches to understand what they want from me - I can't wait to get started."
Head Coach Franco Smith added: "We're pleased to be able to add a player of Facundo's quality to the squad as we approach the business end of the season.
"To be a great team you first need to be a great squad, and Facundo gives us even greater strength in depth in our back-three.
"We look forward to welcoming him to Scotstoun."