Problem with playing on Saturday which I don't think they've thought through properly is that they will have such a long flight to Lima and not much time to recover and train before the away leg which has to be Tuesday 14 at the latest (Wednesday mid-day NZT)
Two flight options:
(1) LAN Chile fly to Lima but it is a more than 21 hour flight via Santiago, Chile.
Seats available on the one Saturday 6.20 pm flight but that's a rush to get onboard after a Saturday afternoon match:
Various options to fly on Sunday on 22 hours plus flights via Melbourne and Santiago.
(2) If they fly Air NZ, they will then spend Sunday evening and Monday travelling to Peru and arriving at about 3pm Monday NZT (9.50 pm Sunday Peru time).
Air NZ have no seats available on Saturday.
Air NZ have flights via Buenos Aires totaling 19 hours 35 minutes leaving Auckland Sunday 8.15 pm
Arriving Lima 9.50 pm Sunday local time.
Flight availability details: