The pooled saliva is centrifuged at 12,000 × g for 20 min to remove residual organelles and cell fragments. Following this, 0.5 ml supernatant is diluted 1:1 with phosphate-buffered saline (PBS) and transferred to 1.0 ml polycarbonate tubes for ultracentrifugation at 120,000 × g for 3 hr at 4C The final pellet is resuspended in 100 µl PBS and then kept at -70C until further analysis.
several ultracentrifugation protocols were published for saliva. but this sample is rather challenging, I'd advise to use Total exosome isolation reagent (Invitrogen)
Without a kit, you should probably do ultracentrifugation.
However, it also seems you wish to avoid the ultracentrifugation process, then you can isolate microvesicles containing exosomes by 10,000g after filtration: this step is called exosomes in media and not the concentrated/enriched exosomes.