Giovanni Trapattoni’s men earned their spot in the knockout round of qualification by beating Armenia 2-1 on Tuesday night, and have avoided some of the bigger teams after being seeded for Thursday’s draw.
Estonia finished runners up behind Italy in Group C, beating Serbia to a playoff spot and will be eager to qualify for a major tournament for the first time.
Trapattoni has stated that he respects his opponents, and that it will not be an easy task for Ireland to qualify.
“It is extremely positive for Ireland that we will play the first leg away,” the Italian told Sky Sports.
“We should not underestimate our opposition, or any team, including Estonia. To have made it through to the play-off, they must have quality and mental fortitude.
“Our build-up to this stage of the competition has shown us the importance of organisation, attention to detail, and self-belief. That will be vitally important to us as we prepare for these games in November,” he stated.
In the remainder of the draw, Turkey take on Croatia, Czech Republic face Montenegro and Portugal entertain Bosnia Herzegovina.
By Gareth McKnight