On the third day of the tournament on April 27, as the group stage drew to a close, the Vietnamese grandmaster needed at least 2.5 points to qualify for the last eight, and he duly achieved it.
In the last five rounds, Liem defeated Indian player Vidit Santosh; drew with American competitor Dominguez Perez Leinier, Azerbaijan player Radjabov Teimour and Norway player Tari Aryan; however, Armenian player Aronian Levon beat him.
Quang Liem did his best on the second day, with three wins, two draws. The Ho Chi Minh City player entered the top 4 after two days of competition, with six points earned across 10 games. He was one point below Magnus Carlsen, who topped the tournament, but only half a point behind Wesley So who was at ninth place.
The two-day quarterfinals (April 27 and 28) involve four rapid chess matches each day with tie-breaks by two blitz chess matches and, if still tied, an armageddon game with white getting more time on the clock. If the result is still a draw, black wins.
The New in Chess Classic is part of the Champion Chess Tour, a 10-month long series of 10 online tournaments featuring the world's top players and with prize money of US$1.5 million.
The New In Chess Classic will last until May 2 and the winner will be received US$100,000.