The draw for the this season's League Cup was as follows. Unfortunately, no scores have been found.

Draw for the League Cup 1955-56

1st Round

RAF v Aberaeron

Quarter-Finals

RAE v RAF
Llandysul v Cilgerran
NCE v Bargod
Lampeter v Cardigan

Semi-Finals

NCE v RAF
Cardigan v Llandysul

Final

NCE v Llandysul

If you have any information or results on this competition, please let us know.