Ethan Zubak and Cristian Pavon each scored for the LA Galaxy before halftime, and Guillermo Barros Schelotto's men held on to edge Bruce Arena's New England Revolution 2-1 at the Dignity Health Sports Park Track and Field Stadium.
Sebastian Lletget's long diagonal ball helped set up Pavon's stylish goal, which stood up as the winner and showed what Kljestan might be capable of with the attacking talent around him at his new club.
Gustavo Bou scored a consolation goal just before the break for the Revs, who were playing their first match of the preseason against a Galaxy side that has won both its preseason games.
Javier "Chicharito" Hernandez did not feature for LA, but most other regulars for both sides figured into the affair. That included a full 90-minute shift for LA's Joe Corona as well as New England's Andrew Farrell and Henry Kessler.
LA Galaxy Starting XI (4-3-3): David Bingham (Justin Vom Steeg 60') - Rolfe Feltscher (Tom Smart 60'), Giancarlo Gonzalez (Nick DePuy 60'), Daniel Steres (Diedie Traore 60'), Danilo Acosta (Julian Araujo 46') - Joe Corona, Sebastian Lletget (Emil Cuello), Sacha Kljestan (Carlos Harvey 60') - Cristian Pavon (Efrain Alvarez 60'), Ethan Zubak (Gordon Wild 46'), Aleksandar Katai (Kair Koreniuk 60')
New England Revolution Starting XI (4-2-3-1): Matt Turner (Brad Knighton 46') - Seth Sinovic (DeJuan Jones 46'), Henry Kessler, Andrew Farrell, Brandon Bye (Simon Lekressner 60') - Wilfried Zahibo (Justin Rennicks), Kelyn Rowe (Scott Caldwell) - Diego Fagundez (Nicolas Firmino 60'), Cristhian Penilla (Tajon Buchanan 60'), Gustavo Bou (Isaac Anking 60') - Adam Buksa (Teal Bunbury 60')