1:17PM BST 05 Aug 2011
Spurs, in the competition after a successful foray into the Champions League last season, qualified for the play-offs automatically and will travel to Edinburgh on Aug 18, with the return leg at White Hart Lane a week later.
Hearts, who booked their place in the play-offs with a 4-1 win over PAKS last night, are now under the management of Paulo Sergio, who took the job earlier this week following the shock exit of Jim Jefferies.
It will be the first ever competitive meeting between the two sides and, in drawing each other, they avoided tricky-looking ties against the likes of Spartak Moscow and Trabzonspor.
Fulham's reward for getting past RNK Split with a comfortable 2-0 home win last night is a clash against Ukrainian outfit Dnipro Dnipropetrovsk.
Martin Jol's side, who have been in action in the competition since qualifying started at the end of June, will play the first leg at the Dnipro Arena, before returning to Craven Cottage.