 Kunyora kupfuurira kweiyi ndima - Mushure mokukwezva kutarisisa kwemutungamiri weIreland, Mary Robinson, uye vagadziri vemitambo yekutamba, Flatley akakokwa kuti abatsire kugadzira kuratidzwa kwepakati pemutambo we1994 Eurovision Song Contest. Flatley, pamwe co-choreographer uye shamwari Chieftains muiti Jean Butler uye nenzwi chikwata Anúna, akaita 7-maminitsi anoratidza kuti nguva chiito makwikwi, iyo yakaitwa muIreland. Pashure pokugamuchira rumbidzo yenyika yose, Flatley akasundira kushandura kuratidzwa kuva kugadzirwa kwenguva refu kwakava Riverdance. Mutambo uyu wakagadzirwa naMoya Doherty, pamwe nekurekodha kukuru naFlatley uye kutungamira kuita kwaFlatley naButler. 