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Synonyms for Encounter (same or very similar meaning)

WordNet sense 1 (a casual or unexpected convergence):

WordNet sense 2 (a hostile disagreement face-to-face):
confrontation, face-off, showdown

WordNet sense 3 (experience as a reaction):
meet, receive

WordNet sense 4 (be beset by):
run into

WordNet sense 5 (come upon, as if by accident; meet with):
bump, chance, find, happen

WordNet sense 6 (come together):
see, come across, run across

WordNet sense 7 (contend against an opponent in a sport, game, or battle):
play, take on

WordNet sense 8 (a minor short-term fight):
brush, clash, skirmish

WordNet sense 9 (a casual meeting with a person of thing):
coming upon

From the ODE community, based on WordNetadd/edit