The pairing of Noppon Saengkham and Thepchaiya Un Nooh had been in trouble in Group A, but a 3-2 win over China A's Ding Junhui and Yan Bingtao assured them of second place.
Joining England from Group B in the last eight are Hong Kong, who beat Iran 3-2 on Friday, while Ireland defeated Saudi Arabia by the same scoreline in what was a dead rubber.
Belgium and Scotland had already qualified for the quarter-finals before the final round of league fixtures, but it was Belgium who sealed top spot after a 3-2 win over the opponents to set up a clash with China B.
Belgium were spearheaded by 2017 China Champion Luca Brecel and 14-year-old prospect Ben Mertens - and Scotland's four-time World Champion John Higgins and five-time ranking event winner Stephen Maguire were narrowly defeated.
Brecel held his nerve against Higgins in the deciding frame, clinching a break of 64 to seal the win and first place in the group.
Scotland must face Wales, who romped to top spot in Group D after a 4-1 win over China B.