Robert Megarity, the club president at Tandragee, produced the winning score to secure the Jubilee Rosebowl off his 12 handicap.
His score of 44 points placed Megarity on a four-over-par for the front nine before birdies across the 10th and 14th holes during the return leg.
Jim Fitzsimons put up 41 points for second off his 12 handicap and Eddie Harbinson lost out on runner-up due to the countback.
Denis McDowell was the pick of four players on 40 points - coming home as a result over club captain Hammy Loney, John Hanna and Andy Latimer.
James Hewitt won the gross prize with a 69.
In the seniors, Winston Yeman scored 38 points to claim the prize across the countback.
The Open Stableford on Sunday featured Derek Creighton first with 41 points off his 15 handicap - followed home by Andrew McSorley and William Brady.
Gary McWhirter, William Nummy, Richard Nummy and Alan Copeland captured the Fourball Scramble prize on nett 57.3.
In the ladies’ section, Vivienne Loney posted 40 points off her 34 handicap for first across the PGA Tankard qualifying round. Julie McCarten was second on 35 points.
The Ulster Cup team made the trip to Castlereagh Hills for the return leg.
Difficult conditions across the home leg contributed to Tandragee suffering defeat on four of the seven matches.
However, Tandragee came out on top in the away leg to book a spot across the next round.
Johnny Quinn won his match 6&5, Jim Campbell finished 1up plus both Stefan McNeill and Brian Gilpin registered success of 3&2.
Eric Hinds and Geoff Moorhead halved matches, with William Nummy 1up when called in.
The Senior Cup group visited Slieve Russell for the qualifying stage of the GUI Championship.
Tandragee finished second behind the hosts following a countback outcome.
Lurgan and Edenmore were next home.
James Hewitt and William Small were each on 76 gross, with Ross Dutton posting 78 gross and Stuart Paul with 79 gross.
Tandragee will now face Lurgan in the matchplay at the same venue across June 28.