Meanwhile, Rugarama beat Kigezi Homeboyz courtesy of a 5-4 penalty shootout to reach this stage.
Vipers SC will continue their journey for a fourth Stanbic Uganda Cup when they visit FUFA Western Region outfit Rugarama FC on Thursday in the Round of 32.
The Venoms are also in search of defence for the Cup they won last season, as they edged Police FC 1-0 at the John-Aki Bua Stadium, Lira.
It will also be their second test in this edition, having beaten Lugazi Stars FC 2-1 in the preceding Round.
Skipper Milton Karisa and playmaker Allan Okello were on target at the Mehta Stadium.
Meanwhile, Rugarama beat Kigezi Homeboyz courtesy of a 5-4 penalty shootout to reach this stage.
The team has been playing in each league on one occasion since their participation in the fifth tier of Ugandan football.
17:41 - 14.02.2024
Stanbic Uganda Cup: Orit debuts for BUL as they ease into the last 32
Orit came on in the 71st minute for forward Gerald Ogweti as the Eastern Giants cruised to the Round of 32 of the 50th edition.
In the current season, they sit third in the Kigezi region with 25 points in 11 matches played. With a game less, they are seven points behind leaders Ntoda FC.
17:58 - 14.02.2024
Stanbic Uganda Cup: Isabirye, Express squeeze into the next Round after narrow win over Myda
Isabirye's charges were far from their fluid-most, as they struggled to create clear-cut chances on the evening.
At this stage, games are played on a one-leg basis, and penalties will decide the contest should it remain tied after 90 minutes.