Nyora kupfuurira kweiyi ndima - Kwemwaka wa2011-12, Connacht akakwanisa kuenda kuHeineken Cup, makwikwi epamusoro eEuropean rugby makwikwi, kekutanga, uye Muldoon's Galwegians kirabhu shamwari uye mumwe muIreland cap-mubati, Gavin Duffy, akaitwa kaputeni wechikwata. Kutanga kwemwaka kwakaonawo Celtic League ichitumidzwazve, ichiva Pro12. Mumwaka wokutanga wePro12
, Muldoon akatamba mumitambo yose yeConnacht ye22, achitanga zvose asi maviri acho. Muldoon akatamba mutambo wake wekutanga weHeineken Cup musi wa11 Mbudzi 2011, vachipesana neHarlequins muStoop. Akatanga mitambo yese mitanhatu yechikwata kusanganisira kukundwa kwebhonasi poindi kuGloucester uye kukunda paHarlequins mumutambo wekudzoka kuGalway, yaive Connacht yekutanga kukunda Heineken Cup.