The Pacific Island country of just 200,000 with one professional played enterprising and brave football, but a string of errors cost them.
That was typified by Jonathan Tehau, who scored their goal before turning into his own net 15 minutes later.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.