although I must admit my ignorance in regards to bothanics, I will check my literature to see if I find something like this. My wife is also fond of native plants, so she could give me some hint.
You may also check following page yourself: http://www.chilebosque.cl/
It has a very comprehensive database of native species, most of them with photos and detailed description.
I will risk one more suggestion (sorry if mistaken): could this be an Alstroemeria instead of an orchid?