The Edinburgh aspect, buoyed by successful their opening two matches within the competitors, appeared to have their German guests rattled as they created a number of probabilities within the first half.
However they have been made to rue their failure to strike whereas on high as Heidenheim as an alternative made it three victories out of three courtesy of second-half headers from Sirlord Conteh and substitute Jan Schoppner.
Regardless of this setback, the William Hill Premiership aspect stay within the high half of the Convention League desk forward of their journey to Cercle Brugge in three weeks.
Hearts boss Neil Critchley made two modifications to the staff that began Saturday’s league win over St Johnstone as Adam Forrester and Stephen Kingsley changed Daniel Oyegoke and Kye Rowles.
Heidenheim – who had risen from the seventh tier of German soccer to the Bundesliga – have been backed by greater than 700 travelling supporters for what was solely their third away fixture in Europe and their first-ever match within the UK.
Hearts, who had gained three of their earlier 4 conferences with German opposition at Tynecastle, made a powerful begin of their quest to grow to be the second Scottish staff to beat a Bundesliga aspect this week after Celtic’s Champions League overcome RB Leipzig.
Lawrence Shankland had an ideal probability to open the scoring within the third minute when the ball broke kindly into his path on the sting of the field after James Penrice charged down Lennard Maloney, however the captain fired his shot towards the legs of Kevin Muller.
The Heidenheim goalkeeper made one other save to disclaim Shankland from a decent angle 5 minutes later after some incisive play by Yan Dhanda and Blair Spittal launched him within the field.
Frankie Kent then despatched a free header large from a Spittal nook on the again put up earlier than Penrice shot over after Alan Forrest’s cross from the proper broke to him simply contained in the field.
Spittal and Forrest each threatened in fast succession with driving runs in the direction of objective as Hearts continued to look the likelier aspect to interrupt the impasse.
Having been firmly on high when it comes to probabilities created, the hosts had a significant let-off two minutes earlier than the break when Malachi Boateng bought again to hook the ball off the road from Maloney’s looping header after goalkeeper Craig Gordon – on his three hundredth look for the Jambos – had launched himself out of his six-yard field to punch a nook kick clear.
Hearts struggled to regain the higher hand within the early phases of the second half and so they fell behind within the 57th minute after sub Mathias Honsak darted down the left and crossed for Conteh who glanced house a close-range header on the close to put up.
The hosts saved themselves within the recreation till the 89th minute when Schoppner powered house a header from Omar Haktab Traore’s cross to seal victory for the Germans and set them up properly for his or her house match towards Chelsea in three weeks.