pristizati

1. to arrive; to keep coming in
   Gosti su pristizali tokom celog popodneva. — Guests kept arriving all afternoon.
   Prve prijave već pristižu. — The first applications are already coming in.
2. (of fruit, crops) to ripen; to come into season
   U junu pristižu trešnje i jagode. — In June cherries and strawberries come into season.

Mostly used with a plural subject, for gradual or successive arrival.