The Dublin side are hoping to match the performance of Cork City last year, with the Munster side finishing in fourth place in the inaugural event in Tbilisi, Georgia.
Shamrock Rovers have been drawn alongside Polish hosts Kuloodporni Bielsko-Biala, England's Crewe Sharks and Russia's Dinamo Altai.
Group B contains Georgia's AFC Tbilisi, Dutch champions PSV Eindhoven, Turkey's Şahinbey Belediye GSK and Italy's ASD Nuova Montelabbate.
The tournament will take place in Bielsko-Biala between May 22-24.
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Introduction:
Shamrock Rovers have been drawn in Group A of the 2020 EAFF Champions League.