Raised between Tunis, Kyiv, Dubai and Paris, she studied at the Tunis Institute of Fine Arts and received a Ph.D. in philosophy of art from the Sorbonne. Kaabi-Linke won the 2011 Abraaj Group Art Prize, which commissioned Flying Carpets, a hanging cage-like sculpture that casts geometric shadows onto the floor akin to the carpets of Venetian street vendors. The piece was acquired by the New York Guggenheim in 2016 as part of their Guggenheim UBS MAP Global Art Initiative.