Establishing an Order: Can I Gain Sole Custody in My Country of Origen to a Child Born Abroad

My question involves a child custody case from the country of Dominican Republic:

My daughter has never entered this country, but her mother is trying to do so, her mother has gone through court proceedings their to gain sole custody in that country, can I do the same here?

Establishing an Order: Can I Gain Sole Custody in My Country of Origen to a Child Born Abroad