The draw will decide which winning quarter-finalists will face each other in the semi-finals at venues selected by ERC.
The fixtures for Heineken Cup quarter-finals will be announced later this week and the venues will be confirmed at a later date.
The quarter-final lineups are as follows:
Biarritz Olympique Pays Basque v Northampton Saints
Llanelli Scarlets v Munster
London Wasps v Leinster
Leicester Tigers v Stade Francais Paris
The 82,000 capacity Twickenham Stadium will host the 12th Heineken Cup final. Check out www.ercrugby.com/london07 for further details.