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Roma says the quake lasted over five minutes then Apia was evacuated by police and people sent to higher ground inland.
Local reports say the wave that hit in Apia was 0.7 of a metre while the second, larger wave in Pago Pago was measured at 1.7 metres.
ONE News camerman Rico Tupai, who is in Apia, Samoa, says high waves have damaged houses and villages.
There are unconfirmed reports of people being killed or injured as the tsunami appears to have come up from the south side of the island.
Emergency evacuation procedures are in place and church bells are ringing as people head to higher ground.