pristignuti

1. to arrive; to come in
   Pristigli su prvi rezultati izbora. — The first election results have come in.
   Gosti su pristigli tek oko ponoći. — The guests didn't arrive until around midnight.
2. (+ acc.) to catch up with
   Pristigao nas je na pola puta do vrha. — He caught up with us halfway to the top.

The variant pristići, with the same meaning, is more common.