Fly business class from Frankfurt to Easter Island (2 stops) with LATAM for flights in Oktober&November, bookable until 5th June.
11-19 Oktober for 2120€ Kayak.de
6-11. November for 1960€ Kayak.de
We recommend flying over Madrid as you fly from there to Santiago de Chile with the A340 lief-flat.
Thanks to YHBU.