Harlequins will begin their LV= Cup defence at Exeter in November.
Quins won the Anglo-Welsh trophy last term, beating Sale Sharks in the final.
This time round they have been drawn alongside Bath, Worcester and Ospreys in Pool Three, meaning they will play their group-stage games against the teams in Pool Two, which is made up of Exeter, Sale, Leicester and Cardiff Blues.
Quins start at Sandy Park, before home games against Sale and Leicester and a trip to the Arms Park to face the Blues.
Leicester and the Ospreys will renew their fierce rivalry on the opening weekend, while Scarlets and Newport Gwent Dragons meet in the only all-Welsh clash.
Last season's semi-finalists Saracens face Wasps, while Gloucester clash with Northampton, Sale host Bath and Newcastle meet London Irish.
The remaining game of the opening round, which will be played over the second weekend in November, sees Worcester travel to Cardiff Blues.
:: The draw for the 2013-14 LV= Cup. Teams in Pool One play teams in Pool Four, and teams in Pool Two play teams in Pool Three:
Pool One: Saracens, Gloucester, London Irish, Newport Gwent Dragons.
Pool Two: Leicester, Exeter, Sale, Cardiff Blues.
Pool Three: Harlequins, Bath, Worcester, Ospreys.
Pool Four: Northampton, Wasps, Newcastle, Scarlets.