Following his selection in the 2013 NHL Entry Draft, and in the midst of his fourth full season with the Blazers, Ully was signed to a three-year, entry-level contract with the Dallas Stars on December 19, 2014.[1] During the 2014–15 WHL season while playing with the Kamloops Blazers, Ully scored 34 goals and 60 assists, and was named to the WHL Western Conference First All-Star Team.[2]
Ully played the duration of his entry-level contract within the Dallas Stars minor league affiliate's, the Texas Stars and Idaho Steelheads.
As an impending restricted free agent from the Stars following the 2017–18 season, Ully was not tendered a qualifying offer and was released to free agency. On August 2, 2018, Ully agreed to a one-year AHL contract with the Colorado Eagles, affiliate to the Colorado Avalanche.[3] After attending the Eagles inaugural AHL training camp, Ully was re-assigned to begin the 2018–19 season in the ECHL, with affiliate the Utah Grizzlies, on September 30, 2018.[4] Ully made 38 appearances with the Grizzlies, posting 41 points, while suiting up in two contests with the Eagles during the season.
As a free agent from the Eagles, Ully continued in the AHL, securing a one-year contract with the Hershey Bears on August 12, 2019.[5]
After two seasons within the Bears organization, Ully left North America and signed a European contract with Slovakian club, HKM Zvolen, on July 8, 2021.[6] He made 14 appearances with Zvolen, collecting 11 points before ending his stint with the club on November 10, 2021. After that Ully played for HK Poprad in the Slovak Extraliga and he earned 34 points.[7]
After a brief stint in Sweden with Vasterviks IK, Ully signed for Welsh side, Cardiff Devils of the EIHL, for the 2023–24 season on July 9, 2023.[8] Ully moved to Glasgow Clan for the 2024–25 season.[9]