Holders Watsonians will make the trip to Stockbridge to take on fellow CSL Eastern Premiership side Mazars Grange in May.
The city’s two other top flight sides – Carlton and Heriot’s – have been drawn to meet at Grange Loan.
The Twenty20 event allows East League teams a chance to take on the bigger clubs and after Edinburgh made the final last year others may fancy themselves for a good run this time around.
Edinburgh will host Morton in the first round while Edinburgh South will look forward to their trip to SMRH.
Draw: Linlithgow v Livingston, Holy Cross v Edinburgh Accies, Murrayfield DAFS v RH Corstorphine, Marchmont v Stuart&Stuart Penicuik, Edinburgh v Morton, Mazars Grange v Watsonians, Carlton v Heriot’s, SMRH v Edinburgh South.