A lokacin da Ingibjörg ke da shekara 14, an kira ta zuwa tawagar 'yan kasa da shekara 17 ta Iceland, wadda ta halarci gasar neman shiga gasar zakarun Turai.
2012 Gasar Mata ta Mata ta 17 ta UEFA. Wasan farko da ta yi a tawagar U17 shi ne a ranar 18 ga Afrilu, 2012, a Poperinge da Belgium. Ingibjörg kuma ya halarci gasar neman shiga gasar zakarun Turai na mata na shekara ta 2014. A watan Maris na 2014, Ingibjörg ta fara bugawa tawagar Iceland ta U-19 wasa a wasan da suka yi da Finland. Ingibjörg ta buga wasanta na farko na kasa da kasa don manyan 'yan wasan Iceland a ranar 8 ga Yuni, 2017, a wasan 0<unk>0 a waje da Ireland lokacin da ta buga minti 90. Ba da daɗewa ba bayan haka, Ingibjörg ya kasance cikin tawagar da ta wakilci Iceland a gasar cin kofin mata ta UEFA ta 2017. Ta buga wasa da Faransa da Switzerland a rukunin rukuni.