The tournament was the first European Tour event since the sporting shutdown caused by the coronavirus pandemic.
The 23-year-old had started the final round three strokes behind his fellow American.
Poulter is six shots back heading into the final round.
The Englishman produced an excellent sand save on the last to see him finish the day at 10 under par.
The 44-year-old’s last appearance on the PGA Tour was in mid-February.
The biennial match between the United States and Europe will now take place in September 2021 at Whistling Straits.
Organisers hope to stage the event in September 2021.