Katalapi Park (or Parque Katalapi) has 28 hectares of forest and open space with high diversity of ferns and a canopy reaching 30 metres - sounds like good epiphyte country to me!
Here are some of their epiphytic species:
Found from the coast to 2000 m above sea level, growing on logs or the ground. Fronds are 7-15 cm long.
Endemic to Chile, this fern is a low epiphyte and is found from 5 to 900 m. Dark green leaves reach up to 30 cm in length.
Also endemic to Chile, this species occurs from 2 to 410 metres. Fronds reach 20 cm in length.
Occuring between 5 and 1250 metres, this fern has a thick fleshy rhizome and glabrous leaves tht reach up to 46 cm in length.
References:
Information: http://www.parquekatalapi.cl/fileadmin/templates/Katalapi_datos/Flora%20de%20Pichiquillaipe.pdf translated using google translate
Photos:
http://www.flickr.com/photos/7147684@N03/3439873824/sizes/l/in/photolist-6eYfDo-e9ouA3/
http://www.chileflora.com/Florachilena/FloraEnglish/HighResPages/EH0795.htm
http://www.chilebosque.cl/ffer/hdicr.html
http://floratalcahuano.blogspot.co.nz/2009/08/calahuala.html