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NiTi₅₀Cu₁₀ foams were replication cast into a porous SrF₂ preform. This space holder is chemically stable in contact with liquid and solid NiTi₅₀Cu₁₀, but can be removed by dissolution in nitric acid. A NiTi₅₀Cu₁₀ foam with 60 pct porosity exhibits low stiffness (1 to 13 GPa) and large recoverable strains (~4 pct) during cyclical compression testing at 311 K (38 °C), within the superelastic range based on calorimetry results. This is the first time that replication casting is used to create an open foam of a NiTi-based shape-memory alloy, due to difficulties associated with the high reactivity and strong contamination tendency of the melt. Casting NiTi-based shape-memory alloy foams enable the economical production of porous actuators, energy absorbers, and biomedical implants with complex shapes.