Harry Redknapp's men, 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 August 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.
Star: Gareth Bale (left) will lead Spurs' Europa League campaign
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 is a clash against Ukrainian outfit Dnipro Dnipropetrovsk.
Euro adventure: Fulham beat RNK Split at Craven Cottage to progress
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.
Scottish champions Rangers will look to put their Champions League disappointment behind them against Slovenian side Maribor.
Living the dream: Stoke impressed in seeing off Hajduk Split
Darko Milanic's team won the Slovenian title for a ninth time last season, while Rangers were surprise casualties from the Champions Leaguewhen they went out to Malmo in a two-legged play-off.
Winning start: Hearts' manager Paulo Sergio won his first game in charge
Next best: Rangers missed out on the Champions League after losing to Malmo
Adventure: Birmingham qualified for Europe after winning the Carling Cup
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Source: Daily Mail
Source: Daily Mail