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Xperia Z - can I use this phone for SMS, data & Wifi in South America, Ecuador Galapagos & Peru
Yeah, BUT double check if your Xperia Z's version it's compatible with local carrier's frequencies.
3G bands
HSDPA 850 / 900 / 2100 - C6603
HSDPA 850 / 900 / 1700 / 1900 / 2100 - C6602
4G bands
LTE band 1(2100), 3(1800), 5(850), 7(2600), 8(900), 20(800) - C6603