Wrap-around contact structures for semiconductor fins, and methods of fabricating wrap-around contact structures for semiconductor fins, are described. In an example, an integrated circuit structure includes a semiconductor fin having a first portion protruding through a trench isolation region. A gate structure is over a top and along sidewalls of the first portion of the semiconductor fin. A source or drain region is at a first side of the gate structure, the source or drain region including an epitaxial structure on a second portion of the semiconductor fin. The epitaxial structure has substantially vertical sidewalls in alignment with the second portion of the semiconductor fin. A conductive contact structure is along sidewalls of the second portion of the semiconductor fin and along the substantially vertical sidewalls of the epitaxial structure.