But Wales were beaten 19-10 in the semi-finals by Canada, who lost to Tonga 14-12 in the Plate final.
After a 33-7 defeat to Tonga on Friday, Wales got back on track on Saturday with a 61-0 thumping of Chinese Taipei.
In the Plate quarter-finals, World Cup winners Wales fought back to overcome the USA 22-21, but Scotland had no answer to Tonga's power and pace as they went down 29-0.
"I'm very relieved - credit to Tonga, they were outstanding, " said White.
Kelly was delighted with his side's response after their 22-20 defeat to Tonga in their opening pool game last week.
World No.2 Nadal is struggling with the knee injury he picked up Wednesday's quarterfinal win over Jo-Wilfred Tonga, where he was taken to three hard-fought sets.
Tonga's indiscipline was a constant problem and Ganson finally lost patience after 24 minutes, sending Esikele Tonga to the sin-bin for yet another offence at the ruck.
The Fiji, Samoa and Tonga select lost 38-20 to Wales at the weekend.
Tom James was the next to clash with the ever-spikey Hartley, but it was the Northampton front row's dominance at the scrum - man-of-the-match Soane Tonga'uiha outstanding - that helped the depleted visitors secure another penalty for Myler to level the game at the break.
This will assist to further build and connect the many on-going ESD activities already underway in Tonga.
Saracens had felt aggrieved over Tonga'uiha's U-turn and had sought to persuade the 28-year-old to honour his agreement with them.
The Springboks surged 27-10 clear but brave Tonga fought back with two quick tries to set up a thrilling finish.
But since taking office last December, Australia's new Labor government has announced a seasonal labour scheme for the fruit-picking industry, to be open to PNG, Vanuatu, Kiribati and Tonga.
And, although Lennard failed with the kick, Tonga'uiha stepped up the plate in stoppage time to add the drop-goal that stretched his side's lead to 11-0.
Wales face India, Tonga and South Africa in Pool A and if they progress to the quarter-finals will face the winners or runners-up from Pool B - New Zealand, Scotland, Canada or Guyana.
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Platt must have still been day-dreaming about his try a few minutes later though as Cooper Vuna took advantage of the full-back's indecisiveness to get his fingertips to a bouncing ball before a late penalty from Joel Taufa'ao gave Tonga a narrow advantage going into half-time.
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