The Northern Irishman was paired with Reed in the Sunday singles of the 2016 Ryder Cup at Hazeltine and lost one-up on the 18th after an epic battle with the Texan at Hazeltine.
His defeat made no difference to the overall result as the USA regained the trophy with a crushing 17-11 victory, to win the prestigious event for the first time since 2008.
The players return to the matchplay format this week in Austin with McIlroy in a group alongside Argentina’s Emiliano Grillo, Soren Kjeldsen of Denmark and big-hitting American Gary Woodland.
Reed will play compatriots Brooks Koepka, Kevin Kisner and Jason Dufner, with just the winner of each of the 16 groups advancing to Saturday’s knockout stage, when the last-16 and quarter-finals are scheduled to take place.
The four stars left standing will contest the semi-finals on Sunday morning before the final and, due to the seedings and the draw, McIlroy and Reed could only meet in the final or third place play-off.
Nevertheless, the four-time major winner has already set his sights on a revenge mission in Texas.
"It would be nice to play Patrick again," he said. "There is some unfinished business there that I would like to clear up. But we'll see what happens. He's played well in match play, especially in the Ryder Cup."