The couple expect to be stuck in Australia for four months and a Give a Little page has been set up to support them.
By this afternoon donations had reached just over $10,200.
Angelina needs support to breathe, has nutrients provided through tubes in her nose, and an IV for blood transfusions, extractions and medication.
Doctors recommended her parents limit cuddles to once a day, as it takes up a lot of Angelina's energy to be out of her incubator.
Reginald and Lotomau Matekohi. Their premature baby, Angelina Matekohi, born at just 23 weeks. Photo / SuppliedBut the doting parents are still able to be involved in parts of their baby girl's care.
Reginald Matekohi said they could open the incubator to touch Angelina, help nurses change her nappy and wipe her face.
And there other ways they were giving comfort.
"We'll read stories to her, and my wife has a beautiful voice so she sings lullabies to her."