Here are pairings in which the vampires and demi-gods will fight.

Carlisle vs Chiron

Esme vs Reyna

Edward vs Percy

Bella vs Annabeth

Alice vs Thalia

Jasper vs Grover

Rosalie vs Piper

Emmett vs Leo

Jacob vs Jason

Leah vs Hazel

Seth vs Nico

Sam vs Clarisse

Paul vs Frank

All will fight. Some will fall.