Provided herein are genetically engineered Pichinde viruses that include three ambisense genomic segments. Two of the genomic segments include an additional coding region that may encode one or more swine influenza virus (SIV) proteins, such as a SIV hemagglutinin (HA) protein. SIV HA proteins can be from different subtypes of SIV. Also provided herein is a reverse genetics system for making genetically engineered Pichinde virus, and a collection of vectors that can be used to produce genetically engineered Pichinde virus. Further provided are methods for using a reverse genetics system, and methods for treating a SIV infection in a subject.