Extension property for partial automorphisms of the $n$-partite and semigeneric tournaments

We present a proof of the extension property for partial automorphisms (EPPA) for classes of finite $n$-partite tournaments for $n\in \{2,3,\dots ,\omega \}$, and for the class of finite semigeneric tournaments. We also prove that the generic $\omega$-partite tournament and the generic semigeneric tournament have ample generics.