Cita: ciscoinsIn the catalog there are only two varieties of Chilean 5 pesos 2002 - with wide and narrow date - and both were made at Santiago Mint. But my 5 pesos have mintmark "A" and narrow date. Which mint it may be from?

The "A" mint mark on your coin is for Armat Mint (Armera Chile S.A.), a private Chilean company that made that 5 pesos 2002 coin.