Abdelaziz Hatim's fine strike saw Qatar knock South Korea out of the Asian Cup and book a showdown with United Arab Emirates or Australia.
Holders Chile will face guests Japan in the group stage of the 2019 Copa America, with Brazil and Argentina in Group A and B respectively.
A fourth successive Asian Cup semi-final is in the offing for South Korea but coach Paulo Bento wants to see plenty of goals against Qatar.
Qatar coach Felix Sanchez saw his side book a quarter-final clash with South Korea and he believes they are contenders to win the Asian Cup.
Qatar won a knockout game at the Asian Cup for the first time, downing Iraq to reach the quarter-finals thanks to Bassam Al Rawi.
Iraq head coach Srecko Katanec warned last-16 opponents Qatar that their perfect group record does not mean a thing ahead of Tuesday's tie.
The 2019 Asian Cup's top scorer Almoez Ali struck twice to ensure Qatar finished top of Group E, three points ahead of Saudi Arabia.
Victory for either Saudi Arabia or Qatar will secure top spot in Group E, with both sides having already sealed their Asian Cup progression.
Qatar stormed into the last 16 of the Asian Cup with a 6-0 victory over North Korea on Sunday.
World Cup 2022 hosts Qatar hammered North Korea 6-0 to move top of Asian Cup Group E and secure progression into the knockout stage.