The sides will meet in the second leg of their play-off tie next week.
Shamrock Rovers' will have to overturn a 4-2 deficit against Flora Tallinn if they are to make the Europa Conference League group stages.
The sides will meet in the second leg of their play-off tie in Tallaght next week after the Hoops lost in Estonia tonight.
Graham Burke and Liam Scales scored in either half for the visitors.
🗣️ | “We’re definitely well capable of winning the tie, there’s no doubt about that. We’ve had this against Slovan Bratislava. It’s half time, we’re two down, we know what we need to do to win the tie. We’ve been here before.”
— Shamrock Rovers FC (@ShamrockRovers) August 19, 2021
We go again next Thursday @tallaghtstadium ✊ pic.twitter.com/IJMmFmlgkh
In the same competition, Tottenham suffered a 1-nil loss to Pacos De Ferreira.
Republic of Ireland international Matt Doherty was part of the Spurs starting 11.
Elsewhere, Aberdeen lost to Qarabeg of Azerbaijan by a goal to nil while St Johnstone played out a 1-all draw with Austria's LASK.

Thursday Morning Sports Update
Former Liverpool And Blackburn Full-Back Inge Bjornebye Joins Rangers As Football Consultant And Advisor
Lizzy Kent Appointed FAI's New Head Of Women And Girls Football
No Afternoon Session At The PDC World Darts Championship Today
Wednesday Morning Sports Update
Tuesday Morning Sports Update
Niall Kelly Retires From Inter County Football
Boxing Promoter Frank Warren Revealed Potential Fight Between Anthony Joshua And Tyson Fury