The game at Llandovery's Church Bank ground will be one of only three all-Premiership clashes. The others see Cross Keys host Bedwas and Carmarthen Quins entertain Pontypool.
The reward for their battling performances to date in the tournament for the last surviving Welsh Districts club, Bryncethin Sports, is a home tie against ASDA League Division One side Caerphilly.
Bryncethin accounted for Bala in round one, 28-8, and Seven Sisters, 21-17, away from home in round two. Now they have an even bigger scalp in mind in December.
Newly promoted Premiership side Glamorgan Wanderers will host Division One's Ystrad Rhondda in one of the closest games to call, while Aberavon will also have home advantage over a Division One team, Fleur de Lys.
Last season's beaten finalists, Pontypridd, will travel to Division Two West side Pontyberem, while Swansea won't be relishing their trip to high flying Corus of the same division.
The 2004 champions, Neath, will ensure a bumper crowd at Taffs Well, the unbeaten leaders of Division Four South-East, and Ebbw Vale will also have to travel to Division Four South-West club Heol y Cyw.
The sole surviving north Wales club, Nant Conwy, will be fancying their chances of making it three home wins in a row after being drawn against Division Three South-East's Tylorstown. They have already seen off Maesteg Quins, 32-0, and Hirwaun, 48-8, on their own patch and will be seeking to ride into round four with another convincing win.
Cardiff face a tricky trip west to Laugharne, while Premiership Maesteg's home clash with Kenfig Hill will give the Division Three South-West side the chance to cause an upset.
Bridgend host Division One side Cwmllynfell and Newport host Beddau.
KONICA MINOLTA CUP THIRD ROUND DRAW (matches to be played on the weekend of 3 December)
Aberavon v Fleur de Lys
Abercynon v Machen
Blackwood v Rhydyfelin
Bridgend v Cwmllynfell
Bryncethin Sports v Caerphilly
Brynithel v Pencoed
Cardiff HSOB v Kidwelly
Carmarthen Quins v Pontypool
Corus v Swansea
Cross Keys v Bedwas
Glamorgan Wanderers v Ystrad Rhondda
Heol y Cyw v Ebbw Vale
Laugharne v Cardiff
Llandovery v Llanelli
Maesteg v Kenfig Hill
Merthyr v Cilfynydd
Mumbles v Llangennech
Nant Conwy v Tylorstown
Narberth v Barry
Newport v Beddau
New Tredegar v Newport Saracens
Penallta v Bonymaen
Penclawdd v Glycorrwg
Pontyberem v Pontypridd
Pontypool United v Llanharan
Taffs Well v Neath
Taibach v Dunvant
Tonmawr v Mountain Ash
Tonna v Pill Harriers
Trebanos v Builth Wells
UWIC v Llantwit Fardre
Whitland v Bridgend Athletic
With just a week to go before Wales kick off their Rugby Women's World Cup campaign against hosts France in Paris, head coach Rhys Edwards and flanker Sioned Harries are looking ahead to the tournament with optimism.
After two years in the international wilderness, Adi Taviner is hoping to make up for lost time when she takes part in her second Women's Rugby World Cup which kicks off in Paris next Friday where Wales take on hosts, France.
The WRU's Women and Girls legacy events - #TRY OUR GAME have proved popular this week with current players and newcomers to the game learning new skills and picking up tips from national squad players.
We caught up with Shona and Ellie from the Wales women team ahead of the start of the Women's Rugby World Cup in Paris next month at a recent women's training session to encourage and promote more women and girls to try their hand at rugby. #tryourgame
The Women's Rugby World Cup warm-up clash between Wales and USA proved bittersweet for centre Elen Evans. Despite being one of the star performers on the day on her 50th Test appearance, USA edged home 10-7 at Cross Keys.
Wales completed their Junior World Championship campaign with a victory over Samoa. Team manager Mark Taylor and No 8 James Benjamin reflect on a tournament which saw Wales win three games and lose two.