Alcacer then showed neat footwork halfway through the second half to ensure the points for Villarreal and leave Alaves in trouble.
Hoffenheim then grabbed the lead out of the blue with 16 minutes gone when Ermin Bicakcic headed home Dennis Geiger's corner kick to stun Hansi Flick's men.
"My goal was to reach the podium, but I didn't expect to win the title," said Song.
Moises Lima Magalhaes of Luneng could have netted the winner in the 83rd minute, but his powerful long shot was denied by the left bar after hitting Zhang Jinliang of R&F.
Icardi found the target in each half thanks to two assists from French international Kylian Mbappe.
The top four teams from the first phase Suzhou and Dalian zones respectively will move into Final A to determine the eventual league champions and the top eight rankings. The bottom four teams from the Suzhou and Dalian zones will enter Final B to battle against relegation to the second-tier League One.
Women's top seed and 2018 champion Simona Halep dispatched her fellow Romanian Irina-Camelia Begu 6-3, 6-4 to book a spot in the third round, while third seed Elina Svitolina of Ukraine overcame a second-set wipeout to beat Mexican qualifier Renata Zarazua 6-3, 0-6, 6-2 to keep on track for her maiden Grand Slam title.
Vasco are now fifth in the standings with 18 points while Brangatino are 17th, seven points further back.
Following is the Mexico squad:
Ghana's Minister for Youth and Sports Isaac Asiamah and officials of the Ghana Football Association joined mourners and families to bid farewell to the young footballers in Offinso.
"It is not only the name that will change as the AFC, in line with our vision and mission, will continue to enhance and invest in all our competitions to provide the best platform for Asia's talents at all levels in the coming years," he said.