The family of Phoebe Bruce say that she has been awarded the funding so that she can see a specialist to deal with her condition.
Phoebe's mother Yvonne was told about the decision by the Welsh Health Specialised Services Committee last night.
Last week, Phoebe told ITV Wales about her struggle with Elhers-Danos syndrome, a genetic condition caused by a defect in the body's protein collagen.
The family are continuing to raise money to help pay for their accommodation in the event that they have to travel to London for Phoebe's treatment.
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A mother from Cardiff has held a fundraising event to help keep the memory of her stillborn son alive.
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Sunny spells during the evening with isolated showers easing away, although it will cool off quite quickly.