Best guess:

Adiós, no quiero que te vayas pero
Adiós, tus ojos lindos verdes verán
que tú me llamas a mí.

Yo que amor quiere dar
Yo, que ella no quiere dar.

Yo te amo, querida

Phrase by the background vocalists: Hasta la vista, yo te amo.

Please note that it's our best guess (our = my niece, two of her Spanish-speaking friends and me). None of us is really sure because of the way they pronounce words ("perro" [dog] instead of "pero" [but], "quereda" instead of "querida"...) and because their grammar seems somewhat weird.