"That would be a tremendous final if we both made it through," said Neath skipper Paul Jones (prop).
"There's been plenty of passion between the two clubs already this season but a third meeting in Cardiff would settle it. But first we must win our semi-final to think about a possible game against the Wizards.
"Over the years we have enjoyed some memorable days out in Cardiff and hopefully we could give the fans another and comeback with some silverware.
"Hopefully by then we would be going for the league and cup double. We have to hope Newport slip up in the league but right now the chance is still there and we won't take our foot off the pedal."
Neath coach Rowland Phillips said (before the draw):
"The cup this season has shown that people's passion and interest is as high as ever. It is a competition that Neath have been successful in over the years.
"It is also now the only competition where we have control over our own destiny, as in the league we need others to do favours for us in beating Newport."
Caerphilly coach Roger Bidgood, the former Wales centre, stated: "I did not won a semi-final as a player, so I hope we can go on to secure a final place."
Semi-final draw: Neath v Brynmawr/Bridgend; Cross Keys/Aberavon v Caerphilly To be played April 17th & 18th at the Millennium Stadium, Cardiff.
Angus O'Brien has quickly settled into the Wales Sevens squad after solid performances in Hong Kong and Japan. With two rounds remaining in Glasgow and Twickenham on the World Series, WRU TV's Graeme Gillespie chats to the rising star.
Wales winger Luke Morgan has established himself as one of the deadliest finishers on the Sevens World Series. WRU TV's Graeme Gillespie catches up with him on the eve of this weekend's round in Glasgow.
All roads lead to Cardiff on Sunday for the SSE SWALEC Finals Day at the Millennium Stadium. Cambrian Welfare tackle Ystradgynlais in the Bowl final, Ystrad Rhondda play Newcastle Emlyn in the Plate final while defending champions Pontypridd face Bridgend in the Cup final.
WRU Chief Executive Roger Lewis, Deputy Minister for Culture, Sport and Tourism Ken Skates and WRU Chairman Gareth Davies earlier this week launched a new competition in conjunction with the WRU unveiling its archive room.
Welsh players and management joined Deputy Minister for Sport Ken Skates at the Pierhead Building, Cardiff Bay earlier this week to reveal the Union's pioneering school-club hub initiative has been so successful the project will now almost double the scale of the original project.
The Scarlets, Newport Gwent Dragons, Cardiff Blues and the Ospreys look ahead to Judgement Day III which sees the Blues take on the Ospreys (2.30) and the Dragons tackle the Scarlets (4.45pm) at the Millennium Stadium tomorrow afternoon.
Ystradgynlais and Ynysddu played out a titanic struggle at Taffs Well in the SSE SWALEC Bowl semi-final. At the end of the game neither team could be separated after a 15-15 stalemate but Ystradgynlais go through on try count.
Blues strike first in JD III battle - Newport Gwent Dragons lock Andrew Coombs, WRU referee Dylan Llyr Jones and Cardiff Blues hooker Matthew Rees decide dressing room allocations for Judgement Day III
Wales Under 18 captain Calum Haggett has received a conditional offer to read Biomedical Science at St Anne's College, Oxford. WRU chairman Gareth Davies went to meet Calum and Coleg y Cymoedd Principal Judith Evans to wish him luck in his exams and pass on some of his personal experience.