Morgan made an impressive debut at the big air event in Belgium in November, finishing seventh, and bettered that by two places on Copper Mountain in the slopestyle event.
The 23-year-old ranked fifth with a score of 72.7, less than 20 points away from Guldemond who finished first by a distance ahead of Roope Tonteri after recording a total of 92.5.
Tonteri scored 80.2 for second while Finnish teammate Peetu Piiroinen was third with 78.2 and Belgium's Seppe Smits fourth with 74.0 before Brit Morgan with a career best.
Morgan was one of seven Brits in action in both the men's and women's slopestyle events on Copper Mountain but was the only one to make it out of the qualification round.
In the men's draw Jamie Nicholls ranked 33rd, Sam Turnbull 90th and Nate Kern 114th while in the women's event two-time Winter X Games champion Jenny Jones was 28th, Katie Ormerod 43rd and Aimee Fuller 49th.
Three-time Winter X Games champion Jamie Anderson took the win with a best score of 83.0 to make it an American double in the slopestyle on home snow in Colorado.
Norway's Kjersti Buaas placed second after scoring 74.2 while Isabel Derungs took third ahead of Swiss teammate Elena Koenz who was in turn comfortably better than Urska Pribosic in fifth.
Six of the seven Brits in action did pick up World Cup points though with Morgan fifth overall in the men's rankings with 450 while Nicholls claimed 24 for his efforts and Turnbull four for his.
Jones took 40 for finishing 28th while Ormerod claimed 18 and Fuller 16 with three more slopestyle World Cup events to go in Sochi next month, then Spindleruv Mlyn and Sierra Nevada both in March.